Pith Number

pith:NP3TX2JN

pith:2024:NP3TX2JNG6F7ARQESQKO4MO55E

not attested not anchored not stored refs pending

Cohomological lifting of multi-toric graphs

Andrew Swann, Kael Dixon, Thomas Bruun Madsen

arxiv:2412.15769 v1 · 2024-12-20 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NP3TX2JNG6F7ARQESQKO4MO55E}

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	2026-07-05T09:52:29.777644Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6bf73be92d378bf046049414ee31dde93b99ab179ee9cd255e210267aefd930c

Aliases

arxiv: 2412.15769 · arxiv_version: 2412.15769v1 · doi: 10.48550/arxiv.2412.15769 · pith_short_12: NP3TX2JNG6F7 · pith_short_16: NP3TX2JNG6F7ARQE · pith_short_8: NP3TX2JN

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/NP3TX2JNG6F7ARQESQKO4MO55E \
  | 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: 6bf73be92d378bf046049414ee31dde93b99ab179ee9cd255e210267aefd930c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa309d8b63e82afd4d2df8f89b3b0d0b6a606dd92bd990248fae3935246c5669",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2024-12-20T10:40:51Z",
    "title_canon_sha256": "84b1af458690437933de1957263e820621cf94c1b3c7d97421d16724d8e8c077"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.15769",
    "kind": "arxiv",
    "version": 1
  }
}