Pith Number

pith:ETO37DRX

pith:2026:ETO37DRX3SXNJ6Z5RBQOB3RF5Y

not attested not anchored not stored refs pending

Heat kernel geometry and Gromov's volume growth conjecture

Jian Ge

arxiv:2608.13553 v1 · 2026-08-13 · 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{ETO37DRX3SXNJ6Z5RBQOB3RF5Y}

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	2026-08-14T01:25:03.368459Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24ddbf8e37dcaed4fb3d8860e0ee25ee0cceb6bc21658e6c5d79bcda3ed7efd6

Aliases

arxiv: 2608.13553 · arxiv_version: 2608.13553v1 · doi: 10.48550/arxiv.2608.13553 · pith_short_12: ETO37DRX3SXN · pith_short_16: ETO37DRX3SXNJ6Z5 · pith_short_8: ETO37DRX

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/ETO37DRX3SXNJ6Z5RBQOB3RF5Y \
  | 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: 24ddbf8e37dcaed4fb3d8860e0ee25ee0cceb6bc21658e6c5d79bcda3ed7efd6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e63d74d8e6628b404fa1f42b1ba0d780935644e0b377477566f9ecd73bca11cc",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-08-13T17:59:33Z",
    "title_canon_sha256": "080a8f30ab7ff393ac45c2987cf439588164e04ee2d822c6d67710855cd41626"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.13553",
    "kind": "arxiv",
    "version": 1
  }
}