Pith Number

pith:HE2R5A2Z

pith:2011:HE2R5A2ZTCRBP4CDB5YBZS2LZA

not attested not anchored not stored refs pending

Torsion, an alternative to dark matter?

Andre Tilquin, Thomas Schucker

arxiv:1104.0160 v3 · 2011-04-01 · astro-ph.CO · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HE2R5A2ZTCRBP4CDB5YBZS2LZA}

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	2026-05-18T02:02:41.480246Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39351e835998a217f0430f701ccb4bc8033bc1aeae73fa823789f49c729261b0

Aliases

arxiv: 1104.0160 · arxiv_version: 1104.0160v3 · doi: 10.48550/arxiv.1104.0160 · pith_short_12: HE2R5A2ZTCRB · pith_short_16: HE2R5A2ZTCRBP4CD · pith_short_8: HE2R5A2Z

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/HE2R5A2ZTCRBP4CDB5YBZS2LZA \
  | 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: 39351e835998a217f0430f701ccb4bc8033bc1aeae73fa823789f49c729261b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9eebf62df2d9d3c576474a5ef465b6a10c67121969fae10d651f291a61294f74",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2011-04-01T12:44:57Z",
    "title_canon_sha256": "c35e84ae0a8f23d4ff968571e1ed2d07b1988c3216318838fa2a1a2fc9d4f2ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.0160",
    "kind": "arxiv",
    "version": 3
  }
}