Pith Number

pith:O4IFDX7X

pith:2020:O4IFDX7XOSDZF4J6DBTXIEDOCX

not attested not anchored not stored refs pending

Property (T) for fiber products

Arghya Mondal, Mahan Mj

arxiv:2009.00279 v2 · 2020-09-01 · math.GR · math.GT · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O4IFDX7XOSDZF4J6DBTXIEDOCX}

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	2026-07-05T04:00:11.799381Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

771051dff7748792f13e186774106e15e2714546ecc53ff444c3136e5ce21c37

Aliases

arxiv: 2009.00279 · arxiv_version: 2009.00279v2 · doi: 10.48550/arxiv.2009.00279 · pith_short_12: O4IFDX7XOSDZ · pith_short_16: O4IFDX7XOSDZF4J6 · pith_short_8: O4IFDX7X

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/O4IFDX7XOSDZF4J6DBTXIEDOCX \
  | 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: 771051dff7748792f13e186774106e15e2714546ecc53ff444c3136e5ce21c37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9275b5843ad37d78688fdcfd131d115167816e6b21fd5b1fa77753cb48d3cb1f",
    "cross_cats_sorted": [
      "math.GT",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2020-09-01T07:49:47Z",
    "title_canon_sha256": "3a69688cb9bcc3ca2aba14ebcb61052dfcfdbd4c1ff900c59db53f24669f1473"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2009.00279",
    "kind": "arxiv",
    "version": 2
  }
}