Pith Number

pith:6IRHWDFJ

pith:2011:6IRHWDFJ7UQTSQKOPJV7QK2M2R

not attested not anchored not stored refs pending

Morphisms of A-infinity Bialgebras and Applications

Ronald Umble, Samson Saneblidze

arxiv:1106.5090 v5 · 2011-06-25 · math.AT · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6IRHWDFJ7UQTSQKOPJV7QK2M2R}

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	2026-05-18T03:44:33.971621Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2227b0ca9fd2139414e7a6bf82b4cd46ad128a4c10d76a46be020be49d2763a

Aliases

arxiv: 1106.5090 · arxiv_version: 1106.5090v5 · doi: 10.48550/arxiv.1106.5090 · pith_short_12: 6IRHWDFJ7UQT · pith_short_16: 6IRHWDFJ7UQTSQKO · pith_short_8: 6IRHWDFJ

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/6IRHWDFJ7UQTSQKOPJV7QK2M2R \
  | 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: f2227b0ca9fd2139414e7a6bf82b4cd46ad128a4c10d76a46be020be49d2763a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b25d49ad6320a9e47aacb44c9d0cfcbee99e3b30ff0d5efa421d0e47fab7a03",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2011-06-25T01:25:33Z",
    "title_canon_sha256": "470761f9c2364dc5f59a4dc976cf5e7aadc11c1364fec640c5f0f995b0cda457"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.5090",
    "kind": "arxiv",
    "version": 5
  }
}