Pith Number

pith:BLHI3OPE

pith:2025:BLHI3OPEU4JKMJ3AJ77D3GTTYB

not attested not anchored not stored refs pending

Generators of top cohomology

Manoj Kummini, Mohit Upmanyu

arxiv:2501.04357 v2 · 2025-01-08 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BLHI3OPEU4JKMJ3AJ77D3GTTYB}

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	2026-07-05T11:13:18.441933Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ace8db9e4a712a627604ffe3d9a73c05beef4419a8886a80e623b74408aa19f

Aliases

arxiv: 2501.04357 · arxiv_version: 2501.04357v2 · doi: 10.48550/arxiv.2501.04357 · pith_short_12: BLHI3OPEU4JK · pith_short_16: BLHI3OPEU4JKMJ3A · pith_short_8: BLHI3OPE

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/BLHI3OPEU4JKMJ3AJ77D3GTTYB \
  | 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: 0ace8db9e4a712a627604ffe3d9a73c05beef4419a8886a80e623b74408aa19f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e2cd62ad56afbe48c2645f12d81baf0de650f9eaba5763795571b8fc2b69ee9",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2025-01-08T08:54:37Z",
    "title_canon_sha256": "be4ffcbc642b0f4fae589b6454b8f5ba1a16f215aa873e6ff0cf6f7c03b19fd5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.04357",
    "kind": "arxiv",
    "version": 2
  }
}