Pith Number

pith:B2ECEK2A

pith:2006:B2ECEK2A7YIBWWYONB5H55VZOX

not attested not anchored not stored refs pending

Specialization and Integral Closure

B. Ulrich, J. Hong

arxiv:math/0611773 v3 · 2006-11-25 · 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{B2ECEK2A7YIBWWYONB5H55VZOX}

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	2026-05-18T02:54:39.971970Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e88222b40fe101b5b0e687a7ef6b975d75bea12cca9562661884ed58d7cb922

Aliases

arxiv: math/0611773 · arxiv_version: math/0611773v3 · doi: 10.48550/arxiv.math/0611773 · pith_short_12: B2ECEK2A7YIB · pith_short_16: B2ECEK2A7YIBWWYO · pith_short_8: B2ECEK2A

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/B2ECEK2A7YIBWWYONB5H55VZOX \
  | 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: 0e88222b40fe101b5b0e687a7ef6b975d75bea12cca9562661884ed58d7cb922

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e36b4d2bf6fd44bfa6687fa70a03705e864c627041741688a1c21cbf290c4c9d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2006-11-25T03:22:24Z",
    "title_canon_sha256": "372c940f7e5d45c81ca93ed689286d0f5cd5e93399b0fb51c748913d5e6201f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0611773",
    "kind": "arxiv",
    "version": 3
  }
}