Pith Number

pith:5S35CFEX

pith:2013:5S35CFEX4ET4T2X5BIW4TZ2EB5

not attested not anchored not stored refs pending

Transformation Double Categories Associated to 2-Group Actions

Jeffrey C. Morton, Roger Picken

arxiv:1401.0149 v2 · 2013-12-31 · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5S35CFEX4ET4T2X5BIW4TZ2EB5}

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	2026-05-18T01:23:09.039637Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ecb7d11497e127c9eafd0a2dc9e7440f6888464050249e31c50e31cc23e8574c

Aliases

arxiv: 1401.0149 · arxiv_version: 1401.0149v2 · doi: 10.48550/arxiv.1401.0149 · pith_short_12: 5S35CFEX4ET4 · pith_short_16: 5S35CFEX4ET4T2X5 · pith_short_8: 5S35CFEX

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/5S35CFEX4ET4T2X5BIW4TZ2EB5 \
  | 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: ecb7d11497e127c9eafd0a2dc9e7440f6888464050249e31c50e31cc23e8574c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6081fbbefb6d0f2211ce801a8cc32169d26cadfe1b6b2f9367d03fadddcac1c4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2013-12-31T14:20:34Z",
    "title_canon_sha256": "73a3f98f802bfd2138a1877974f095c05bc235807d0f2e4d6ac666b02b59cb36"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.0149",
    "kind": "arxiv",
    "version": 2
  }
}