Pith Number

pith:MQ3UBFEH

pith:2015:MQ3UBFEHKNT4WNSC2ZBEFCMENS

not attested not anchored not stored refs pending

Noncommutative version of Borcherds' approach to quantum field theory

Alessandra Frabetti (ICJ), Christian Brouder (IMPMC), Nguyen Viet Dang (LPP)

arxiv:1502.00147 v1 · 2015-01-31 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MQ3UBFEHKNT4WNSC2ZBEFCMENS}

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	2026-05-18T02:28:12.639117Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64374094875367cb3642d6424289846cac6a3b0202ff08a0914309032d5a49ea

Aliases

arxiv: 1502.00147 · arxiv_version: 1502.00147v1 · doi: 10.48550/arxiv.1502.00147 · pith_short_12: MQ3UBFEHKNT4 · pith_short_16: MQ3UBFEHKNT4WNSC · pith_short_8: MQ3UBFEH

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/MQ3UBFEHKNT4WNSC2ZBEFCMENS \
  | 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: 64374094875367cb3642d6424289846cac6a3b0202ff08a0914309032d5a49ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4081b2cba719b13a83d7af527717718906246e9ca2f93f03dd2cb14c675813a1",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-01-31T18:50:01Z",
    "title_canon_sha256": "e3bc94bfc711a889c5337f6498e9b7edc1115792da7a7ce32e3630228d43c478"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.00147",
    "kind": "arxiv",
    "version": 1
  }
}