Pith Number

pith:UUX2XKQI

pith:2007:UUX2XKQI6VSBFRY2SZDK5ASR5L

not attested not anchored not stored refs pending

On the Axiomatics of Ann-Categories

D. D. Hanh, Nguyen Tien Quang, N. T. Thuy

arxiv:0711.3659 v1 · 2007-11-23 · 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{UUX2XKQI6VSBFRY2SZDK5ASR5L}

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	2026-05-18T03:37:09.647567Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a52fabaa08f56412c71a9646ae8251eac4330e6476886a2cdda39af0260e663f

Aliases

arxiv: 0711.3659 · arxiv_version: 0711.3659v1 · doi: 10.48550/arxiv.0711.3659 · pith_short_12: UUX2XKQI6VSB · pith_short_16: UUX2XKQI6VSBFRY2 · pith_short_8: UUX2XKQI

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/UUX2XKQI6VSBFRY2SZDK5ASR5L \
  | 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: a52fabaa08f56412c71a9646ae8251eac4330e6476886a2cdda39af0260e663f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "903022b2651f562ecc4fd2357eb97ed4c9602bf425f0645fef18d18b6ec7b6a3",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CT",
    "submitted_at": "2007-11-23T00:55:11Z",
    "title_canon_sha256": "14894cb6b75d23f160eabc9f06edc34597f9bc3485c47b81e7bf07e8f90977a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.3659",
    "kind": "arxiv",
    "version": 1
  }
}