Pith Number

pith:JRIGTBEC

pith:2014:JRIGTBEC2PP7RGHYJW32BTYCSA

not attested not anchored not stored refs pending

Lifting Markov Bases and Higher Codimension Toric Fiber Products

Johannes Rauh, Seth Sullivant

arxiv:1404.6392 v3 · 2014-04-25 · math.AC · math.OC · math.ST · 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{JRIGTBEC2PP7RGHYJW32BTYCSA}

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	2026-05-18T01:36:20.830579Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c50698482d3dff898f84db7a0cf029005ae09b21c6c742de69028300b94a676

Aliases

arxiv: 1404.6392 · arxiv_version: 1404.6392v3 · doi: 10.48550/arxiv.1404.6392 · pith_short_12: JRIGTBEC2PP7 · pith_short_16: JRIGTBEC2PP7RGHY · pith_short_8: JRIGTBEC

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/JRIGTBEC2PP7RGHYJW32BTYCSA \
  | 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: 4c50698482d3dff898f84db7a0cf029005ae09b21c6c742de69028300b94a676

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "869cd079d9c3079ac3fe212870996a50bf1a0728fe636971ccc5e7126f481137",
    "cross_cats_sorted": [
      "math.OC",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2014-04-25T10:57:34Z",
    "title_canon_sha256": "119065082e60919649e70f2d82e1eb287278da50640f32a51dfc79fc5929203c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.6392",
    "kind": "arxiv",
    "version": 3
  }
}