Pith Number

pith:TXGLWT6O

pith:2010:TXGLWT6OAZOAMTOEHHAYENKV7F

not attested not anchored not stored refs pending

Masse des op\'erateurs GJMS

Beno\^it Michel

arxiv:1012.4414 v1 · 2010-12-20 · 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{TXGLWT6OAZOAMTOEHHAYENKV7F}

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	2026-05-18T04:32:54.835558Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9dccbb4fce065c064dc439c1823555f97c89333e24305fe2fa61266354029b47

Aliases

arxiv: 1012.4414 · arxiv_version: 1012.4414v1 · doi: 10.48550/arxiv.1012.4414 · pith_short_12: TXGLWT6OAZOA · pith_short_16: TXGLWT6OAZOAMTOE · pith_short_8: TXGLWT6O

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/TXGLWT6OAZOAMTOEHHAYENKV7F \
  | 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: 9dccbb4fce065c064dc439c1823555f97c89333e24305fe2fa61266354029b47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2720a711632eea5e789614a01ff2ba20b78337b9937a16cdddf6762f2849bdcd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-12-20T17:28:35Z",
    "title_canon_sha256": "b1fab2b2e52600724068194e19e349f1a3ac355e9f035085ca427f111543b3c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.4414",
    "kind": "arxiv",
    "version": 1
  }
}