Pith Number

pith:NTSMNQDE

pith:2013:NTSMNQDE3RR7EQDN7HVJS6EE32

not attested not anchored not stored refs pending

Very ample and Koszul segmental fibrations

Jessica Delgado, Joseph Gubeladze, Mateusz Micha{\l}ek, Matthias Beck

arxiv:1307.7422 v4 · 2013-07-28 · math.CO · 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{NTSMNQDE3RR7EQDN7HVJS6EE32}

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	2026-05-18T01:15:24.279370Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ce4c6c064dc63f2406df9ea997884de9eee808b98dc0b7059c41c23b9fe6d44

Aliases

arxiv: 1307.7422 · arxiv_version: 1307.7422v4 · doi: 10.48550/arxiv.1307.7422 · pith_short_12: NTSMNQDE3RR7 · pith_short_16: NTSMNQDE3RR7EQDN · pith_short_8: NTSMNQDE

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/NTSMNQDE3RR7EQDN7HVJS6EE32 \
  | 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: 6ce4c6c064dc63f2406df9ea997884de9eee808b98dc0b7059c41c23b9fe6d44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d8b03ddeedde6341f3d2d5ab60f31658c35ba99b10190376a12602d77f4ea2f",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-07-28T23:38:32Z",
    "title_canon_sha256": "3643a27b9898b87c9d9377f48d0202dc8095e176025f88e38aee4e909f2b96ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.7422",
    "kind": "arxiv",
    "version": 4
  }
}