Pith Number

pith:XDA3VTLT

pith:2016:XDA3VTLTMPU7QQPVSTFEMY2T3U

not attested not anchored not stored refs pending

Preopen sets in bispaces

Amar Kumar Banerjee, Pratap Kumar Saha

arxiv:1607.07061 v1 · 2016-07-24 · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XDA3VTLTMPU7QQPVSTFEMY2T3U}

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	2026-05-18T01:10:35.003136Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8c1bacd7363e9f841f594ca466353dd30734fe44c5e60ee60fa9671c7534363

Aliases

arxiv: 1607.07061 · arxiv_version: 1607.07061v1 · doi: 10.48550/arxiv.1607.07061 · pith_short_12: XDA3VTLTMPU7 · pith_short_16: XDA3VTLTMPU7QQPV · pith_short_8: XDA3VTLT

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/XDA3VTLTMPU7QQPVSTFEMY2T3U \
  | 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: b8c1bacd7363e9f841f594ca466353dd30734fe44c5e60ee60fa9671c7534363

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1f2896e014a024d06a08762a6e3cb0d75bc88dcac072b820247cf2c99549838",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2016-07-24T16:15:55Z",
    "title_canon_sha256": "4ca2bfbd758fee301effe177bc34520f2814a51a6468d778b311ac9a93478c6e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.07061",
    "kind": "arxiv",
    "version": 1
  }
}