Pith Number

pith:T57TDFWB

pith:2019:T57TDFWBQZZR3UJZM65YRWXYD7

not attested not anchored not stored refs pending

Coxeter submodular functions and deformations of Coxeter permutahedra

Alexander Postnikov, Christopher Eur, Federico Ardila, Federico Castillo

arxiv:1904.11029 v2 · 2019-04-24 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T57TDFWBQZZR3UJZM65YRWXYD7}

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	2026-07-05T00:44:37.954714Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f7f3196c186731dd13967bb88daf81fda719fadb121dff7cdeb9c5ae626401e

Aliases

arxiv: 1904.11029 · arxiv_version: 1904.11029v2 · doi: 10.48550/arxiv.1904.11029 · pith_short_12: T57TDFWBQZZR · pith_short_16: T57TDFWBQZZR3UJZ · pith_short_8: T57TDFWB

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/T57TDFWBQZZR3UJZM65YRWXYD7 \
  | 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: 9f7f3196c186731dd13967bb88daf81fda719fadb121dff7cdeb9c5ae626401e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb5af115a191434ef19ef3f76974c801dde3f63747ab0db0c3c21f046cc69120",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-04-24T19:19:23Z",
    "title_canon_sha256": "da602c74843cd2d4b30223cb0ed0dd8e6e2b763af90256a326ee23a925400730"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.11029",
    "kind": "arxiv",
    "version": 2
  }
}