Pith Number

pith:IBZAXFMJ

pith:2014:IBZAXFMJOKFTK33JWN76KF4GRF

not attested not anchored not stored refs pending

F-threshold functions: syzygy gap fractals and the two-variable homogeneous case

Daniel J. Hern\'andez, Pedro Teixeira

arxiv:1404.5871 v3 · 2014-04-23 · 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{IBZAXFMJOKFTK33JWN76KF4GRF}

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	2026-05-18T01:14:36.294860Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40720b9589728b356f69b37fe51786894896775bff22a7ab1d3809bba9c173fb

Aliases

arxiv: 1404.5871 · arxiv_version: 1404.5871v3 · doi: 10.48550/arxiv.1404.5871 · pith_short_12: IBZAXFMJOKFT · pith_short_16: IBZAXFMJOKFTK33J · pith_short_8: IBZAXFMJ

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/IBZAXFMJOKFTK33JWN76KF4GRF \
  | 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: 40720b9589728b356f69b37fe51786894896775bff22a7ab1d3809bba9c173fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90c00a742dc2d36bc560553ff1c1685ac1e72944dc000b55b65da1dc8e6f75c9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2014-04-23T16:02:20Z",
    "title_canon_sha256": "9dcd9b319dd4a5f336875eea6b991625441183c81cd707797061663a63f1b65d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.5871",
    "kind": "arxiv",
    "version": 3
  }
}