Pith Number

pith:F4F3VMUR

pith:2011:F4F3VMURVDGA3IBTMR6JFGDFD2

not attested not anchored not stored refs pending

Ideals with Larger Projective Dimension and Regularity

Alexandra Seceleanu, Bart Snapp, Branden Stone, Jason McCullough, Jesse Beder, Luis Nunez-Betancourt

arxiv:1101.3368 v1 · 2011-01-18 · 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{F4F3VMURVDGA3IBTMR6JFGDFD2}

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	2026-05-18T04:31:23.070295Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f0bbab291a8cc0da033647c9298651ea6bbbfad7fe26aca9dda35b440eeaaad

Aliases

arxiv: 1101.3368 · arxiv_version: 1101.3368v1 · doi: 10.48550/arxiv.1101.3368 · pith_short_12: F4F3VMURVDGA · pith_short_16: F4F3VMURVDGA3IBT · pith_short_8: F4F3VMUR

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/F4F3VMURVDGA3IBTMR6JFGDFD2 \
  | 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: 2f0bbab291a8cc0da033647c9298651ea6bbbfad7fe26aca9dda35b440eeaaad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79311171b025267716c6c8a67d00a3f30484eb9c06cd89d735ed6afebd530f07",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-01-18T01:57:55Z",
    "title_canon_sha256": "f931d7554f02fc1b1470eaf4d08602a033034a2ac291c2363e57b4f00e37ac2c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.3368",
    "kind": "arxiv",
    "version": 1
  }
}