Pith Number

pith:4YMTHHXO

pith:2013:4YMTHHXOX6UWMAGDW6DLJUHMAG

not attested not anchored not stored refs pending

Lifting homotopy T-algebra maps to strict maps

Justin Noel, Niles Johnson

arxiv:1301.1511 v4 · 2013-01-08 · math.AT · math.GT · math.QA · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4YMTHHXOX6UWMAGDW6DLJUHMAG}

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	2026-05-18T02:48:24.766975Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e619339eeebfa96600c3b786b4d0ec01b80cc6fc7fa9769286d0ee5bf3657958

Aliases

arxiv: 1301.1511 · arxiv_version: 1301.1511v4 · doi: 10.48550/arxiv.1301.1511 · pith_short_12: 4YMTHHXOX6UW · pith_short_16: 4YMTHHXOX6UWMAGD · pith_short_8: 4YMTHHXO

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/4YMTHHXOX6UWMAGDW6DLJUHMAG \
  | 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: e619339eeebfa96600c3b786b4d0ec01b80cc6fc7fa9769286d0ee5bf3657958

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d95702778bd50ed50f381ef4d795f7b4028dd6247304678fba9cdf2658a668da",
    "cross_cats_sorted": [
      "math.GT",
      "math.QA",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2013-01-08T12:31:49Z",
    "title_canon_sha256": "c23066a050ee71722bd248bca93a19c455fa2b727faf466f1b60f545460d79c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.1511",
    "kind": "arxiv",
    "version": 4
  }
}