Pith Number

pith:TF57UPOV

pith:2016:TF57UPOV6SWPES6LYVLUTDBXXU

not attested not anchored not stored refs pending

Perspective on MOND emergence from Verlinde's "emergent gravity" and its recent test by weak lensing

Mordehai Milgrom (Weizmann Institute), Robert H. Sanders (Kapteyn Institute)

arxiv:1612.09582 v2 · 2016-12-30 · astro-ph.GA · astro-ph.CO · gr-qc · hep-ph · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TF57UPOV6SWPES6LYVLUTDBXXU}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:52:43.904485Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

997bfa3dd5f4acf24bcbc557498c37bd0c73af734d67d87d543d38eac58c8841

Aliases

arxiv: 1612.09582 · arxiv_version: 1612.09582v2 · doi: 10.48550/arxiv.1612.09582 · pith_short_12: TF57UPOV6SWP · pith_short_16: TF57UPOV6SWPES6L · pith_short_8: TF57UPOV

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/TF57UPOV6SWPES6LYVLUTDBXXU \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 997bfa3dd5f4acf24bcbc557498c37bd0c73af734d67d87d543d38eac58c8841

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "844a2eb12057e2b95961264dcdbd3820f440e4004d7f33a164ec6dc85c86d153",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "gr-qc",
      "hep-ph",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2016-12-30T20:07:51Z",
    "title_canon_sha256": "1e029942049d75a9a9c4cfca2bc3ea932442112ddddea8faaf0063b682102c90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.09582",
    "kind": "arxiv",
    "version": 2
  }
}