Pith Number

pith:E2JGFRLP

pith:2017:E2JGFRLPTYY7DQ7YNUYCE436BT

not attested not anchored not stored refs pending

A numerical property of Hilbert functions and lex segment ideals

Giuseppe Favacchio

arxiv:1710.09358 v3 · 2017-10-25 · 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{E2JGFRLPTYY7DQ7YNUYCE436BT}

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	2026-05-18T00:19:16.920409Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

269262c56f9e31f1c3f86d3022737e0cfa19e9c6b424f0f464469e3a354490aa

Aliases

arxiv: 1710.09358 · arxiv_version: 1710.09358v3 · doi: 10.48550/arxiv.1710.09358 · pith_short_12: E2JGFRLPTYY7 · pith_short_16: E2JGFRLPTYY7DQ7Y · pith_short_8: E2JGFRLP

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/E2JGFRLPTYY7DQ7YNUYCE436BT \
  | 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: 269262c56f9e31f1c3f86d3022737e0cfa19e9c6b424f0f464469e3a354490aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0fbfeb995d5eb46c13c6779aad48c4ba649eb590adb7ff2141f480248ba68030",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2017-10-25T17:37:07Z",
    "title_canon_sha256": "cecf08040957421518e6b8959212bfdf6b82b65c2bc38d849a475f1b3475d97a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.09358",
    "kind": "arxiv",
    "version": 3
  }
}