Pith Number

pith:PHNVDVO7

pith:2008:PHNVDVO7DSSSNG4RSG72TQWO3S

not attested not anchored not stored refs pending

Smooth Yamabe invariant and surgery

Bernd Ammann (Universitaet Regensburg), Emmanuel Humbert (IECN), Mattias Dahl (KTH Stockholm)

arxiv:0804.1418 v5 · 2008-04-09 · 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{PHNVDVO7DSSSNG4RSG72TQWO3S}

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	2026-05-18T03:31:18.333352Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79db51d5df1ca5269b9191bfa9c2cedcad4c74dff2e62b16e2d46c457e9cdecd

Aliases

arxiv: 0804.1418 · arxiv_version: 0804.1418v5 · doi: 10.48550/arxiv.0804.1418 · pith_short_12: PHNVDVO7DSSS · pith_short_16: PHNVDVO7DSSSNG4R · pith_short_8: PHNVDVO7

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/PHNVDVO7DSSSNG4RSG72TQWO3S \
  | 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: 79db51d5df1ca5269b9191bfa9c2cedcad4c74dff2e62b16e2d46c457e9cdecd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e58b88e07ceb21dc17be3e21ae1f23101a0cd71cc13d128a8ea5b1dfbbbca274",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2008-04-09T06:54:43Z",
    "title_canon_sha256": "a47a4299f57a41a2c89b8b7df342e2725e86eeaddfbd539c1e4695b5d7217cfa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0804.1418",
    "kind": "arxiv",
    "version": 5
  }
}