Pith Number

pith:THTI7TMM

pith:2026:THTI7TMMGQCFT7BJT5MSLUJVCL

not attested not anchored not stored refs pending

Genericity of hyperbolic 3-manifolds via Dehn surgery

Renxing Wan, Yanqing Zou

arxiv:2607.11057 v1 · 2026-07-13 · 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{THTI7TMMGQCFT7BJT5MSLUJVCL}

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	2026-07-14T01:22:14.065283Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99e68fcd8c340459fc299f5925d13512cff9442595fa5d065820ae5d494c9410

Aliases

arxiv: 2607.11057 · arxiv_version: 2607.11057v1 · doi: 10.48550/arxiv.2607.11057 · pith_short_12: THTI7TMMGQCF · pith_short_16: THTI7TMMGQCFT7BJ · pith_short_8: THTI7TMM

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/THTI7TMMGQCFT7BJT5MSLUJVCL \
  | 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: 99e68fcd8c340459fc299f5925d13512cff9442595fa5d065820ae5d494c9410

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "431760f46a945c4e758faf30f9b83859cbb69a36a824bdf253818d4b0706c5ee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2026-07-13T03:36:10Z",
    "title_canon_sha256": "18e3948b4bac74ee55e68d016df69a829cda51286a3a902942e25bd85a72eaa4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.11057",
    "kind": "arxiv",
    "version": 1
  }
}