Pith Number

pith:TYNF32VR

pith:2015:TYNF32VRUZLLUIX6GDNLFEZOXS

not attested not anchored not stored refs pending

Modified Gravity and Large Scale Flows

Christina Magoulas, Christopher M Springob, Heath Jones, Jeremy Mould, John Lucey, Matthew Colless, Pirin Erdogdu, Yin-Zhe Ma

arxiv:1504.03027 v3 · 2015-04-12 · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TYNF32VRUZLLUIX6GDNLFEZOXS}

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	2026-05-18T02:16:38.848273Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e1a5deab1a656ba22fe30dab2932ebcad214dd2efcc62e723e6b9546c5e591a

Aliases

arxiv: 1504.03027 · arxiv_version: 1504.03027v3 · doi: 10.48550/arxiv.1504.03027 · pith_short_12: TYNF32VRUZLL · pith_short_16: TYNF32VRUZLLUIX6 · pith_short_8: TYNF32VR

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/TYNF32VRUZLLUIX6GDNLFEZOXS \
  | 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: 9e1a5deab1a656ba22fe30dab2932ebcad214dd2efcc62e723e6b9546c5e591a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ed3c99aafef08dda505cc6763fb8e99a32f4888225719d5772527e12504db19",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2015-04-12T21:42:59Z",
    "title_canon_sha256": "0aaeca56538d5affc940e8dcdb80522fc98af1d443b337bce759aebb62fca28b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.03027",
    "kind": "arxiv",
    "version": 3
  }
}