Pith Number

pith:VBLM6XMB

pith:2026:VBLM6XMB3VXFTISTJLTSDGPOQ7

not attested not anchored not stored refs pending

Combinatorial Yamabe flow on infinitely triangulated hyperbolic surfaces

Xu Xu, Yuerong Bian

arxiv:2607.25691 v1 · 2026-07-28 · math.DG · math.GT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VBLM6XMB3VXFTISTJLTSDGPOQ7}

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	2026-07-29T01:25:57.268828Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a856cf5d81dd6e59a2534ae72199ee87f173a8650986212398c741b560be678c

Aliases

arxiv: 2607.25691 · arxiv_version: 2607.25691v1 · doi: 10.48550/arxiv.2607.25691 · pith_short_12: VBLM6XMB3VXF · pith_short_16: VBLM6XMB3VXFTIST · pith_short_8: VBLM6XMB

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/VBLM6XMB3VXFTISTJLTSDGPOQ7 \
  | 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: a856cf5d81dd6e59a2534ae72199ee87f173a8650986212398c741b560be678c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e01240980e866d8287a2ca9ca52b6f184b9518e0c354b430022624111fba52e",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-07-28T13:08:30Z",
    "title_canon_sha256": "ef5d44380d476b0b045dd7213ea2ff66af1c976714e35945af153a6ec420c4f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.25691",
    "kind": "arxiv",
    "version": 1
  }
}