Pith Number

pith:YNHFU7UQ

pith:2010:YNHFU7UQEZ4RQSMFUE654XMV7C

not attested not anchored not stored refs pending

Relativit\'e g\'en\'erale (d'apr\`es M.Vaugon) et quelques probl\`emes math\'ematiques qui en sont issus

Emmanuel Humbert

arxiv:1004.2402 v5 · 2010-04-13 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YNHFU7UQEZ4RQSMFUE654XMV7C}

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	2026-05-18T02:24:16.639839Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c34e5a7e902679184985a13dde5d95f8abafecf1619d80094c7769cc7f3416aa

Aliases

arxiv: 1004.2402 · arxiv_version: 1004.2402v5 · doi: 10.48550/arxiv.1004.2402 · pith_short_12: YNHFU7UQEZ4R · pith_short_16: YNHFU7UQEZ4RQSMF · pith_short_8: YNHFU7UQ

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/YNHFU7UQEZ4RQSMFUE654XMV7C \
  | 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: c34e5a7e902679184985a13dde5d95f8abafecf1619d80094c7769cc7f3416aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3259ba79019ae9f67ee6fe635b74e3df9dd9a8839ed88ea2a6bc15698af07b1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-04-13T07:11:31Z",
    "title_canon_sha256": "0202449d3a53df856f80595d4fad8cfadc6a42496b9d5c5f42d93b39686b4184"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.2402",
    "kind": "arxiv",
    "version": 5
  }
}