Pith Number

pith:AGVPFEGH

pith:2011:AGVPFEGHSLAC52LOKUUJHQXUVY

not attested not anchored not stored refs pending

A cactus theorem for end cuts

Anastasia Evangelidou, Panos Papasoglu

arxiv:1110.5084 v1 · 2011-10-23 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AGVPFEGHSLAC52LOKUUJHQXUVY}

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	2026-05-18T04:10:24.748278Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

01aaf290c792c02ee96e552893c2f4ae2cbdba65eba5c5b7b4fe11ec2d5af8fd

Aliases

arxiv: 1110.5084 · arxiv_version: 1110.5084v1 · doi: 10.48550/arxiv.1110.5084 · pith_short_12: AGVPFEGHSLAC · pith_short_16: AGVPFEGHSLAC52LO · pith_short_8: AGVPFEGH

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/AGVPFEGHSLAC52LOKUUJHQXUVY \
  | 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: 01aaf290c792c02ee96e552893c2f4ae2cbdba65eba5c5b7b4fe11ec2d5af8fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e38b67a917f9b71e95da5cff5051fa534bc8bb2a47a0b26fafcc0870eae5a84",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-10-23T20:30:38Z",
    "title_canon_sha256": "d0cb9878aaa63ace1f68870d8ba2f8278ef8832956370bb66dd695a8ae8923ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.5084",
    "kind": "arxiv",
    "version": 1
  }
}