Pith Number

pith:A7J2SA5Z

pith:2026:A7J2SA5Z2KP4P2VGMEDSIIP5QL

not attested not anchored not stored refs pending

Fa\`a di Bruno is Taylor Composition

Heinrich Hartmann

arxiv:2606.26133 v1 · 2026-06-18 · math.GM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A7J2SA5Z2KP4P2VGMEDSIIP5QL}

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	2026-06-26T00:15:27.014974Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07d3a903b9d29fc7eaa661072421fd82e97ca4cfa6c558a7aa4f190e01124738

Aliases

arxiv: 2606.26133 · arxiv_version: 2606.26133v1 · doi: 10.48550/arxiv.2606.26133 · pith_short_12: A7J2SA5Z2KP4 · pith_short_16: A7J2SA5Z2KP4P2VG · pith_short_8: A7J2SA5Z

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/A7J2SA5Z2KP4P2VGMEDSIIP5QL \
  | 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: 07d3a903b9d29fc7eaa661072421fd82e97ca4cfa6c558a7aa4f190e01124738

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a131ff7a69d38fdef757b12cd040ecbfa5be1a517ff77af44d1b114a92f20f52",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2026-06-18T14:06:50Z",
    "title_canon_sha256": "7b830de2ad56d2ea07b3323ecc71ca792500343f7ac636a05095b3893d045b01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.26133",
    "kind": "arxiv",
    "version": 1
  }
}