Pith Number

pith:FHQAPVSB

pith:2011:FHQAPVSBBZHI5YZSRKIZZMMUDQ

not attested not anchored not stored refs pending

The Purely Geometric Part of "Dark Matter" -- A Fresh Playground for "String Theory"

Hagen Kleinert

arxiv:1107.2610 v1 · 2011-07-13 · gr-qc · 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{FHQAPVSBBZHI5YZSRKIZZMMUDQ}

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	2026-05-18T04:02:34.948688Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29e007d6410e4e8ee3328a919cb1941c2a46220dd0b1a436bb88950bac4e41f7

Aliases

arxiv: 1107.2610 · arxiv_version: 1107.2610v1 · doi: 10.48550/arxiv.1107.2610 · pith_short_12: FHQAPVSBBZHI · pith_short_16: FHQAPVSBBZHI5YZS · pith_short_8: FHQAPVSB

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/FHQAPVSBBZHI5YZSRKIZZMMUDQ \
  | 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: 29e007d6410e4e8ee3328a919cb1941c2a46220dd0b1a436bb88950bac4e41f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98ce51e8416306b11c6309e61a0248efa625d29c1824e0cbbd19c69e25d53f72",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-07-13T17:34:07Z",
    "title_canon_sha256": "a3f8423f7aee01ca975f1dad6d1d0b3c1605df3f16e3e3e8ab971aa6657f9897"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.2610",
    "kind": "arxiv",
    "version": 1
  }
}