Pith Number

pith:JGZSA7HE

pith:2015:JGZSA7HEJDM3SBTG7F3HORSLVB

not attested not anchored not stored refs pending

Constructing examples of semigroups of valuations

Olga Kashcheyeva

arxiv:1507.04669 v1 · 2015-07-16 · 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{JGZSA7HEJDM3SBTG7F3HORSLVB}

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	2026-05-18T01:36:46.720075Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49b3207ce448d9b90666f97677464ba8454fb0a876bbedeb01e324581f09464f

Aliases

arxiv: 1507.04669 · arxiv_version: 1507.04669v1 · doi: 10.48550/arxiv.1507.04669 · pith_short_12: JGZSA7HEJDM3 · pith_short_16: JGZSA7HEJDM3SBTG · pith_short_8: JGZSA7HE

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/JGZSA7HEJDM3SBTG7F3HORSLVB \
  | 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: 49b3207ce448d9b90666f97677464ba8454fb0a876bbedeb01e324581f09464f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "253abc5cf592fd5320960efc953c09a325ba53ff7a8f9c099a196a5eb431d12f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-07-16T17:44:40Z",
    "title_canon_sha256": "4cb50bbe3730c980bdc6a70c2cd61df9cd236b343370b1de3d3e79398782d5ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.04669",
    "kind": "arxiv",
    "version": 1
  }
}