Pith Number

pith:6L3VPYQ7

pith:2007:6L3VPYQ7TYUU5YBPN4EHWBLQY6

not attested not anchored not stored refs pending

Functions of State for Spinor Gas in General Relativity

Ying-Qiu Gu

arxiv:0711.1243 v5 · 2007-11-08 · physics.gen-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6L3VPYQ7TYUU5YBPN4EHWBLQY6}

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	2026-05-18T00:31:54.455603Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2f757e21f9e294ee02f6f087b0570c7a51267e42342605c3650d7b109c225bd

Aliases

arxiv: 0711.1243 · arxiv_version: 0711.1243v5 · doi: 10.48550/arxiv.0711.1243 · pith_short_12: 6L3VPYQ7TYUU · pith_short_16: 6L3VPYQ7TYUU5YBP · pith_short_8: 6L3VPYQ7

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/6L3VPYQ7TYUU5YBPN4EHWBLQY6 \
  | 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: f2f757e21f9e294ee02f6f087b0570c7a51267e42342605c3650d7b109c225bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0536b384c5807dc9f1f567753227947b111760fe973e5d357dc4bc61bcf59af8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.gen-ph",
    "submitted_at": "2007-11-08T10:57:25Z",
    "title_canon_sha256": "304e1ec16bcf0be6c05389ee4cdfc99b464fcad32e061b29db6cb3f5f3e93ae3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.1243",
    "kind": "arxiv",
    "version": 5
  }
}