Pith Number

pith:VLURUZJW

pith:2005:VLURUZJWCWQWDW6ORUFIBB44UR

not attested not anchored not stored refs pending

Multigraded regularity: coarsenings and resolutions

Adam Van Tuyl, Haohao Wang, Jessica Sidman

arxiv:math/0505421 v2 · 2005-05-19 · math.AC · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VLURUZJWCWQWDW6ORUFIBB44UR}

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	2026-05-18T01:05:23.445349Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aae91a653615a161dbce8d0a80879ca445712b4409d543a2f04497b6cf080b21

Aliases

arxiv: math/0505421 · arxiv_version: math/0505421v2 · doi: 10.48550/arxiv.math/0505421 · pith_short_12: VLURUZJWCWQW · pith_short_16: VLURUZJWCWQWDW6O · pith_short_8: VLURUZJW

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/VLURUZJWCWQWDW6ORUFIBB44UR \
  | 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: aae91a653615a161dbce8d0a80879ca445712b4409d543a2f04497b6cf080b21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98449b52d0b7592b201dbda783759d832fc12e505a44ea39684388455ffeb42a",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "math.AC",
    "submitted_at": "2005-05-19T15:14:21Z",
    "title_canon_sha256": "90a2eb203fdb30b57a943d153b36493f1f8a296a7112791cd9aa7db87fff93c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0505421",
    "kind": "arxiv",
    "version": 2
  }
}