Pith Number

pith:DQUAOOW3

pith:2011:DQUAOOW3A7WFVLMWNIZQWCAAVB

not attested not anchored not stored refs pending

The Transverse Entropy Functional and the Sasaki-Ricci Flow

Tristan C. Collins

arxiv:1103.5720 v2 · 2011-03-29 · 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{DQUAOOW3A7WFVLMWNIZQWCAAVB}

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	2026-05-18T04:18:44.507983Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c28073adb07ec5aad966a330b0800a86555e90d35aa64ce05a4634648edd6ed

Aliases

arxiv: 1103.5720 · arxiv_version: 1103.5720v2 · doi: 10.48550/arxiv.1103.5720 · pith_short_12: DQUAOOW3A7WF · pith_short_16: DQUAOOW3A7WFVLMW · pith_short_8: DQUAOOW3

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/DQUAOOW3A7WFVLMWNIZQWCAAVB \
  | 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: 1c28073adb07ec5aad966a330b0800a86555e90d35aa64ce05a4634648edd6ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aee5391d565b82a442338c7bf206651a40247f5f8ccda317f0795ee8b17d1324",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-03-29T17:59:45Z",
    "title_canon_sha256": "dfad74fc19a19d177a5e41171457164e1a0f7a86dc99f89d55d5728b5f8fcdc2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.5720",
    "kind": "arxiv",
    "version": 2
  }
}