Pith Number

pith:QVIYMD5N

pith:2010:QVIYMD5NJSP6QKJRKHRLJ5LYVE

not attested not anchored not stored refs pending

Duals of Ann-categories

Dang Dinh Hanh, Nguyen Tien Quang

arxiv:1009.0803 v1 · 2010-09-04 · 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{QVIYMD5NJSP6QKJRKHRLJ5LYVE}

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	2026-05-18T03:37:09.370080Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8551860fad4c9fe8293151e2b4f578a90fdb6884c49d119a8c33ab13e66010d1

Aliases

arxiv: 1009.0803 · arxiv_version: 1009.0803v1 · doi: 10.48550/arxiv.1009.0803 · pith_short_12: QVIYMD5NJSP6 · pith_short_16: QVIYMD5NJSP6QKJR · pith_short_8: QVIYMD5N

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/QVIYMD5NJSP6QKJRKHRLJ5LYVE \
  | 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: 8551860fad4c9fe8293151e2b4f578a90fdb6884c49d119a8c33ab13e66010d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6431e07e9d2b516947dbd13402f6e91f122173df74c790e7fe33fe31783597f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2010-09-04T04:05:05Z",
    "title_canon_sha256": "bf3301d1fcd1b118c007e51795b7e1e970586fbf4e5cd7c45f484786c9cc7ab0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.0803",
    "kind": "arxiv",
    "version": 1
  }
}