Pith Number

pith:FBE26NGX

pith:2013:FBE26NGXHYMFBKTBBYHXFE5PAT

not attested not anchored not stored refs pending

Understanding networks and their behaviors using sheaf theory

Michael Robinson

arxiv:1308.4621 v1 · 2013-08-21 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FBE26NGXHYMFBKTBBYHXFE5PAT}

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	2026-05-18T03:15:21.498913Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2849af34d73e1850aa610e0f7293af04eedbcfa6063894640b7c8e30838508a4

Aliases

arxiv: 1308.4621 · arxiv_version: 1308.4621v1 · doi: 10.48550/arxiv.1308.4621 · pith_short_12: FBE26NGXHYMF · pith_short_16: FBE26NGXHYMFBKTB · pith_short_8: FBE26NGX

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/FBE26NGXHYMFBKTBBYHXFE5PAT \
  | 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: 2849af34d73e1850aa610e0f7293af04eedbcfa6063894640b7c8e30838508a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65df007b2b3b9fcc7f2c5985171d271a6d908a34762d60e48b41ee2e02726511",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2013-08-21T16:08:52Z",
    "title_canon_sha256": "5e85783e7fcd611327964e112d74c1251159b7635f870ba18a084c057e73cf45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.4621",
    "kind": "arxiv",
    "version": 1
  }
}