Pith Number

pith:3NAGALUW

pith:2009:3NAGALUWTFJVKOCW6CYJLLMSLI

not attested not anchored not stored refs pending

On the arc and curve complex of a surface

Athanase Papadopoulos (IRMA, MPI), Mustafa Korkmaz (METU)

arxiv:0907.3317 v4 · 2009-07-19 · 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{3NAGALUWTFJVKOCW6CYJLLMSLI}

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	2026-05-18T02:12:55.727254Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db40602e969953553856f0b095ad925a36d5d010fc17c8ee6004021669ef5e06

Aliases

arxiv: 0907.3317 · arxiv_version: 0907.3317v4 · doi: 10.48550/arxiv.0907.3317 · pith_short_12: 3NAGALUWTFJV · pith_short_16: 3NAGALUWTFJVKOCW · pith_short_8: 3NAGALUW

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/3NAGALUWTFJVKOCW6CYJLLMSLI \
  | 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: db40602e969953553856f0b095ad925a36d5d010fc17c8ee6004021669ef5e06

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9905787a9ce6bea796c58755a7b857cfbbcea44eac0e0581337d35098922c588",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2009-07-19T19:32:02Z",
    "title_canon_sha256": "68ae27a0412d708720fab627f8a01277ef3bc3e1f198a7a7fb11b124e7dd6c80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.3317",
    "kind": "arxiv",
    "version": 4
  }
}