Pith Number

pith:DA5F2FXD

pith:2019:DA5F2FXD6JSZH4OMMQDJQF7G7O

not attested not anchored not stored refs pending

What is... a Markov basis?

Sonja Petrovi\'c

arxiv:1907.07320 v1 · 2019-07-16 · math.ST · math.AC · stat.ME · stat.TH

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DA5F2FXD6JSZH4OMMQDJQF7G7O}

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	2026-05-17T23:40:22.692626Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

183a5d16e3f26593f1cc64069817e6fb990b40b86c53f66b5da9aaeba2da4e89

Aliases

arxiv: 1907.07320 · arxiv_version: 1907.07320v1 · doi: 10.48550/arxiv.1907.07320 · pith_short_12: DA5F2FXD6JSZ · pith_short_16: DA5F2FXD6JSZH4OM · pith_short_8: DA5F2FXD

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/DA5F2FXD6JSZH4OMMQDJQF7G7O \
  | 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: 183a5d16e3f26593f1cc64069817e6fb990b40b86c53f66b5da9aaeba2da4e89

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "852d3e2f643daedca368ce871d9cd7c1fd22dea519d695e5a67323f655d0f630",
    "cross_cats_sorted": [
      "math.AC",
      "stat.ME",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2019-07-16T03:35:36Z",
    "title_canon_sha256": "6e571b7f26d7668422072bfda3b51ebde1b9fb9e23da027fae99d4f4aa8a2034"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.07320",
    "kind": "arxiv",
    "version": 1
  }
}