Pith Number

pith:N4ZS62HV

pith:2026:N4ZS62HV7JNGUHDXZMSEL7LFPU

not attested not anchored not stored refs pending

A Syntactic Approach to Ulmer's Bialgebras

David Forsman

arxiv:2607.19587 v1 · 2026-07-21 · math.CT · math.LO · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N4ZS62HV7JNGUHDXZMSEL7LFPU}

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	2026-07-23T00:23:57.844070Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f332f68f5fa5a6a1c77cb2445fd657d09c8f5322c2a6b7bcacad218d792427a

Aliases

arxiv: 2607.19587 · arxiv_version: 2607.19587v1 · doi: 10.48550/arxiv.2607.19587 · pith_short_12: N4ZS62HV7JNG · pith_short_16: N4ZS62HV7JNGUHDX · pith_short_8: N4ZS62HV

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/N4ZS62HV7JNGUHDXZMSEL7LFPU \
  | 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: 6f332f68f5fa5a6a1c77cb2445fd657d09c8f5322c2a6b7bcacad218d792427a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d542e7d984e7354620a86a569db3449673149ad4c149952f389773177c838439",
    "cross_cats_sorted": [
      "math.LO",
      "math.QA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2026-07-21T21:29:00Z",
    "title_canon_sha256": "c8592b822b0602b08b4c171989b3401ececf21840625c9af0f318a8acdbb4ce1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.19587",
    "kind": "arxiv",
    "version": 1
  }
}