Pith Number

pith:YU4AQN2V

pith:2006:YU4AQN2VG64FZAYM442HKFUCCZ

not attested not anchored not stored refs pending

Geometric angle structures on triangulated surfaces

Ren Guo

arxiv:math/0601486 v1 · 2006-01-20 · 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{YU4AQN2VG64FZAYM442HKFUCCZ}

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	2026-05-18T01:05:22.818005Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c53808375537b85c830ce7347516821664a4ec0079ed8b8fc7eaa6f92ef80ff4

Aliases

arxiv: math/0601486 · arxiv_version: math/0601486v1 · doi: 10.48550/arxiv.math/0601486 · pith_short_12: YU4AQN2VG64F · pith_short_16: YU4AQN2VG64FZAYM · pith_short_8: YU4AQN2V

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/YU4AQN2VG64FZAYM442HKFUCCZ \
  | 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: c53808375537b85c830ce7347516821664a4ec0079ed8b8fc7eaa6f92ef80ff4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f08206b96681bd9129a15dca7be3ac5fb6625a27b26c24f03f5499518ffb0e41",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2006-01-20T03:59:44Z",
    "title_canon_sha256": "388bb23c91f7fc1a0841fb369e8b2517eb4fc0d1168d0b430104c43f4d784f4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0601486",
    "kind": "arxiv",
    "version": 1
  }
}