Pith Number

pith:YO5PXDMZ

pith:2019:YO5PXDMZPJX77ZQF2PPVOFGGI2

not attested not anchored not stored refs pending

Typing Tensor Calculus in 2-Categories (I)

Fatimah Rita Ahmadi

arxiv:1908.01212 v4 · 2019-08-03 · math.CT · cs.LG · cs.SE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YO5PXDMZPJX77ZQF2PPVOFGGI2}

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	2026-07-05T11:46:18.600488Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3bafb8d997a6fffe605d3df5714c646a9000709d0db67f0b736da44d76a598b

Aliases

arxiv: 1908.01212 · arxiv_version: 1908.01212v4 · doi: 10.48550/arxiv.1908.01212 · pith_short_12: YO5PXDMZPJX7 · pith_short_16: YO5PXDMZPJX77ZQF · pith_short_8: YO5PXDMZ

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/YO5PXDMZPJX77ZQF2PPVOFGGI2 \
  | 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: c3bafb8d997a6fffe605d3df5714c646a9000709d0db67f0b736da44d76a598b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3a9b4cc24523b4ae7129a22c56f7a0193eb55590bc21d23a2c8576d3fde6d20",
    "cross_cats_sorted": [
      "cs.LG",
      "cs.SE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2019-08-03T18:13:59Z",
    "title_canon_sha256": "1f4847d55c25e084ce0b29063a9cb565e802cd9e75e479167b26ae6bdd1c0001"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.01212",
    "kind": "arxiv",
    "version": 4
  }
}