Pith Number

pith:X7EOBW5V

pith:2006:X7EOBW5VC53QTHYDV576NTQYNR

not attested not anchored not stored refs pending

Homotopy-theoretic aspects of 2-monads

Stephen Lack

arxiv:math/0607646 v1 · 2006-07-26 · math.CT · 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{X7EOBW5VC53QTHYDV576NTQYNR}

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	2026-05-18T04:41:06.146095Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bfc8e0dbb51777099f03af7fe6ce186c598a670eac4f43f3bee93c797d69c43e

Aliases

arxiv: math/0607646 · arxiv_version: math/0607646v1 · doi: 10.48550/arxiv.math/0607646 · pith_short_12: X7EOBW5VC53Q · pith_short_16: X7EOBW5VC53QTHYD · pith_short_8: X7EOBW5V

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/X7EOBW5VC53QTHYDV576NTQYNR \
  | 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: bfc8e0dbb51777099f03af7fe6ce186c598a670eac4f43f3bee93c797d69c43e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eff4a12dbea7b716f57f804163ce6ed8578add59f6187873222839299d7adcdb",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "",
    "primary_cat": "math.CT",
    "submitted_at": "2006-07-26T02:57:47Z",
    "title_canon_sha256": "84d20d984d736fd05b7c6ab1e77170cc4b7d2460a8e68ec912e7882179dbbd2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0607646",
    "kind": "arxiv",
    "version": 1
  }
}