Pith Number

pith:Q5OHONE4

pith:2012:Q5OHONE4OJ5RSD4RNJ6FSKX3K6

not attested not anchored not stored refs pending

Building modules from the singular locus

Jesse Burke, Lars Winther Christensen, Ryo Takahashi

arxiv:1210.0055 v3 · 2012-09-28 · 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{Q5OHONE4OJ5RSD4RNJ6FSKX3K6}

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	2026-05-18T02:34:45.218911Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

875c77349c727b190f916a7c592afb5791d3bebab75d1f9e62d07799e392f3b9

Aliases

arxiv: 1210.0055 · arxiv_version: 1210.0055v3 · doi: 10.48550/arxiv.1210.0055 · pith_short_12: Q5OHONE4OJ5R · pith_short_16: Q5OHONE4OJ5RSD4R · pith_short_8: Q5OHONE4

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/Q5OHONE4OJ5RSD4RNJ6FSKX3K6 \
  | 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: 875c77349c727b190f916a7c592afb5791d3bebab75d1f9e62d07799e392f3b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92fd142236a3fbfeac6936b5d0a24d2de3d1195f0bb25d14aa45c8f49d1e5c6b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-09-28T23:13:33Z",
    "title_canon_sha256": "cf1e2b41ad50380fbf0f8a02a546de6854731778f7889fd86f9e7a792b23bb79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.0055",
    "kind": "arxiv",
    "version": 3
  }
}