Pith Number

pith:DMV4N23T

pith:2015:DMV4N23TITSHOTFMRVRPE5A7P4

not attested not anchored not stored refs pending

Lyubeznik numbers and injective dimension in mixed characteristic

Daniel J. Hern\'andez, Emily E. Witt, Felipe P\'erez, Luis N\'u\~nez-Betancourt

arxiv:1512.02298 v1 · 2015-12-08 · 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{DMV4N23TITSHOTFMRVRPE5A7P4}

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	2026-05-18T01:24:45.083015Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b2bc6eb7344e4774cac8d62f2741f7f242292643c38390169171cbf8ce68a29

Aliases

arxiv: 1512.02298 · arxiv_version: 1512.02298v1 · doi: 10.48550/arxiv.1512.02298 · pith_short_12: DMV4N23TITSH · pith_short_16: DMV4N23TITSHOTFM · pith_short_8: DMV4N23T

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/DMV4N23TITSHOTFMRVRPE5A7P4 \
  | 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: 1b2bc6eb7344e4774cac8d62f2741f7f242292643c38390169171cbf8ce68a29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbcd9ca22ea5decc137abcc138a964d13495c1885a7900567e672d227722d0aa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-12-08T01:00:01Z",
    "title_canon_sha256": "f89bd31856e63f4452cd5fc31004f7937e42d46b8dbad0691b36a50c271c61d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.02298",
    "kind": "arxiv",
    "version": 1
  }
}