Pith Number

pith:UL7WUIJ2

pith:2007:UL7WUIJ2FC4ZIUIBMA6XTW6TFW

not attested not anchored not stored refs pending

A theory of bundles over posets

Ezio Vasselli, Giuseppe Ruzzi, John E. Roberts

arxiv:0707.0240 v1 · 2007-07-02 · math.AT · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UL7WUIJ2FC4ZIUIBMA6XTW6TFW}

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	2026-05-18T03:48:24.560811Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2ff6a213a28b9945101603d79dbd32d926d251a3738674321534c5a0a71c5c0

Aliases

arxiv: 0707.0240 · arxiv_version: 0707.0240v1 · doi: 10.48550/arxiv.0707.0240 · pith_short_12: UL7WUIJ2FC4Z · pith_short_16: UL7WUIJ2FC4ZIUIB · pith_short_8: UL7WUIJ2

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/UL7WUIJ2FC4ZIUIBMA6XTW6TFW \
  | 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: a2ff6a213a28b9945101603d79dbd32d926d251a3738674321534c5a0a71c5c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd936f927b60d026bf0c4fff892d7aa15e9a53aeb27b03522e063174634bd915",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "2007-07-02T14:39:11Z",
    "title_canon_sha256": "77ed0cc2890b2ae4044162b8f2761e2ebc62533c35cf04ef84e7abb31b8c7793"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0707.0240",
    "kind": "arxiv",
    "version": 1
  }
}