Pith Number

pith:4PVCHIR7

pith:2017:4PVCHIR7ARBBEFXDQPGSZNJAZK

not attested not anchored not stored refs pending

IP$^{*}$-sets in function field and mixing properties

Dibyendu De, Pintu Debnath

arxiv:1706.10010 v1 · 2017-06-30 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4PVCHIR7ARBBEFXDQPGSZNJAZK}

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	2026-05-18T00:41:11.708620Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3ea23a23f04421216e383cd2cb520ca81305be09108a8768dbabfd6968176ff

Aliases

arxiv: 1706.10010 · arxiv_version: 1706.10010v1 · doi: 10.48550/arxiv.1706.10010 · pith_short_12: 4PVCHIR7ARBB · pith_short_16: 4PVCHIR7ARBBEFXD · pith_short_8: 4PVCHIR7

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/4PVCHIR7ARBBEFXDQPGSZNJAZK \
  | 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: e3ea23a23f04421216e383cd2cb520ca81305be09108a8768dbabfd6968176ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf77e7d02dd21fb4319d087f8c3ff6e99e2a76a293a8c2f1fb99682dcdf11d55",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-06-30T03:38:57Z",
    "title_canon_sha256": "874c0a9742a246dd0d41d0b3746880ed7086746e7f0824e946de3132909e5733"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.10010",
    "kind": "arxiv",
    "version": 1
  }
}