Pith Number

pith:VONCXS2K

pith:2026:VONCXS2KLQUXTONHWVR355IAVM

not attested not anchored not stored refs pending

Morphing Graphs on Hyperbolic Surfaces

Yanwen Luo, Yuan Luo

arxiv:2607.21469 v1 · 2026-07-23 · math.GT · cs.CG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VONCXS2KLQUXTONHWVR355IAVM}

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	2026-07-24T01:24:34.625799Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab9a2bcb4a5c2979b9a7b563bef500ab29582af06c06e1622f4bdfd6389a823e

Aliases

arxiv: 2607.21469 · arxiv_version: 2607.21469v1 · doi: 10.48550/arxiv.2607.21469 · pith_short_12: VONCXS2KLQUX · pith_short_16: VONCXS2KLQUXTONH · pith_short_8: VONCXS2K

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/VONCXS2KLQUXTONHWVR355IAVM \
  | 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: ab9a2bcb4a5c2979b9a7b563bef500ab29582af06c06e1622f4bdfd6389a823e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "167592fb5fc410b2bc79c2fde89415bfa0418a4ce0058ea1f8e4a3c6e84070b2",
    "cross_cats_sorted": [
      "cs.CG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2026-07-23T16:10:43Z",
    "title_canon_sha256": "6515aa63355b6fbcf02941900439b694af52bc87b3a12fdc579397931256d4ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.21469",
    "kind": "arxiv",
    "version": 1
  }
}