Pith Number

pith:FFT2L7V3

pith:2019:FFT2L7V3LWHQNLWTYALMKXQGRH

not attested not anchored not stored refs pending

Constructing symmetric monoidal bicategories functorially

Linde Wester Hansen, Michael Shulman

arxiv:1910.09240 v2 · 2019-10-21 · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FFT2L7V3LWHQNLWTYALMKXQGRH}

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	2026-07-05T00:21:37.868369Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2967a5febb5d8f06aed3c016c55e0689da16cd4b626f869dea54ff8ec37c6323

Aliases

arxiv: 1910.09240 · arxiv_version: 1910.09240v2 · doi: 10.48550/arxiv.1910.09240 · pith_short_12: FFT2L7V3LWHQ · pith_short_16: FFT2L7V3LWHQNLWT · pith_short_8: FFT2L7V3

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/FFT2L7V3LWHQNLWTYALMKXQGRH \
  | 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: 2967a5febb5d8f06aed3c016c55e0689da16cd4b626f869dea54ff8ec37c6323

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b576a33876886b2dc50690825829791d4f763a97d2403bfc879f127b60763c9c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2019-10-21T09:57:16Z",
    "title_canon_sha256": "f64c2a1cad506a3bb5713a27d0e869c53c531273420b730cb05d256dfbddf269"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1910.09240",
    "kind": "arxiv",
    "version": 2
  }
}