Pith Number

pith:TAOQ7PRR

pith:2011:TAOQ7PRR4MSNUACCR57G5KY2NH

not attested not anchored not stored refs pending

Scalar curvature rigidity with a volume constraint

Luen-fai Tam, Pengzi Miao

arxiv:1109.2960 v2 · 2011-09-14 · 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{TAOQ7PRR4MSNUACCR57G5KY2NH}

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	2026-05-18T04:08:12.249555Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

981d0fbe31e324da00428f7e6eab1a69d922cba0a2b3cbbd8dd304ffd0615a2d

Aliases

arxiv: 1109.2960 · arxiv_version: 1109.2960v2 · doi: 10.48550/arxiv.1109.2960 · pith_short_12: TAOQ7PRR4MSN · pith_short_16: TAOQ7PRR4MSNUACC · pith_short_8: TAOQ7PRR

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/TAOQ7PRR4MSNUACCR57G5KY2NH \
  | 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: 981d0fbe31e324da00428f7e6eab1a69d922cba0a2b3cbbd8dd304ffd0615a2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5574ab24a01d3953f2b626c4249326d08db0545130eb99ccaf035217cb807d96",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-09-14T01:06:06Z",
    "title_canon_sha256": "ce32dd13165afab5f2e742ec61c0ecfbff479bd1f20a443d76d8bb92445900a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.2960",
    "kind": "arxiv",
    "version": 2
  }
}