Pith Number

pith:DWGJRW7J

pith:2009:DWGJRW7J2BW4YRQBA5C4QK75ZN

not attested not anchored not stored refs pending

On the braiding of an Ann-category

Dang Dinh Hanh, Nguyen Tien Quang

arxiv:0909.1486 v1 · 2009-09-08 · 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{DWGJRW7J2BW4YRQBA5C4QK75ZN}

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	2026-05-18T03:37:09.499193Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d8c98dbe9d06dcc46010745c82bfdcb46455a69e1c19a2fb80102a1dbeeb6d6

Aliases

arxiv: 0909.1486 · arxiv_version: 0909.1486v1 · doi: 10.48550/arxiv.0909.1486 · pith_short_12: DWGJRW7J2BW4 · pith_short_16: DWGJRW7J2BW4YRQB · pith_short_8: DWGJRW7J

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/DWGJRW7J2BW4YRQBA5C4QK75ZN \
  | 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: 1d8c98dbe9d06dcc46010745c82bfdcb46455a69e1c19a2fb80102a1dbeeb6d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aacf458935794d8bd1c58acd4704dc8266310f797adc8b3efd34dacefa2e9808",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2009-09-08T13:18:18Z",
    "title_canon_sha256": "e1f2d935fc8a6d001b3ded539772aaab3a9d6a885cbd397732d25cebeb9ad44f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.1486",
    "kind": "arxiv",
    "version": 1
  }
}