Pith Number

pith:OACVRX3R

pith:1994:OACVRX3R6LV7GUARLEYBYKSYVX

not attested not anchored not stored refs pending

Laurent coefficients and Ext of finite graded modules

Judith D. Sally, Luchezar L. Avramov, Ragnar-Olaf Buchweitz

arxiv:math/9409208 v1 · 1994-09-23 · 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{OACVRX3R6LV7GUARLEYBYKSYVX}

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	2026-05-18T01:05:51.138691Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

700558df71f2ebf3501159301c2a58ade7002d7462f33276c2d0b6953d71b6f7

Aliases

arxiv: math/9409208 · arxiv_version: math/9409208v1 · doi: 10.48550/arxiv.math/9409208 · pith_short_12: OACVRX3R6LV7 · pith_short_16: OACVRX3R6LV7GUAR · pith_short_8: OACVRX3R

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/OACVRX3R6LV7GUARLEYBYKSYVX \
  | 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: 700558df71f2ebf3501159301c2a58ade7002d7462f33276c2d0b6953d71b6f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d9256178461a7d6a4278e7ed0f2d67b7620e54e40de00e5f1dee37847b5c1f5",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AC",
    "submitted_at": "1994-09-23T00:00:00Z",
    "title_canon_sha256": "d99d86ca7add4d70a243712617da74e85f56843c4ef10c95d4a272f96b385f67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9409208",
    "kind": "arxiv",
    "version": 1
  }
}