Pith Number

pith:N5YRWAVK

pith:2010:N5YRWAVK3S3LQZIQR5LI4NNKPH

not attested not anchored not stored refs pending

Some old and new results about rigidity of critical metric

Gilles Carron (LMJL)

arxiv:1012.0685 v1 · 2010-12-03 · 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{N5YRWAVK3S3LQZIQR5LI4NNKPH}

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	2026-05-18T04:34:09.597885Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f711b02aadcb6b865108f568e35aa79d7dfbb6f282b3b342df4b5413d809163

Aliases

arxiv: 1012.0685 · arxiv_version: 1012.0685v1 · doi: 10.48550/arxiv.1012.0685 · pith_short_12: N5YRWAVK3S3L · pith_short_16: N5YRWAVK3S3LQZIQ · pith_short_8: N5YRWAVK

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/N5YRWAVK3S3LQZIQR5LI4NNKPH \
  | 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: 6f711b02aadcb6b865108f568e35aa79d7dfbb6f282b3b342df4b5413d809163

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63380438d2f34e2c739a6bcfd9133aed927687308ad6b247ecd7361ac78c9162",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-12-03T10:13:24Z",
    "title_canon_sha256": "9a15ae8ff8eeec2ccc135dd6cf4d60745b61869f25e2f55f3a59f8600c015753"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.0685",
    "kind": "arxiv",
    "version": 1
  }
}