Pith Number

pith:K4XUIBQ5

pith:2019:K4XUIBQ5M4KUASVNP26PZFFL2C

not attested not anchored not stored refs pending

Calabi-Yau properties of Postnikov diagrams

Matthew Pressland

arxiv:1912.12475 v3 · 2019-12-28 · math.RT · math.AG · 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{K4XUIBQ5M4KUASVNP26PZFFL2C}

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	2026-07-05T05:17:00.941256Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

572f44061d6715404aad7ebcfc94abd09cee5b4095fb5c0a5c2091e8b2a80ef0

Aliases

arxiv: 1912.12475 · arxiv_version: 1912.12475v3 · doi: 10.48550/arxiv.1912.12475 · pith_short_12: K4XUIBQ5M4KU · pith_short_16: K4XUIBQ5M4KUASVN · pith_short_8: K4XUIBQ5

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/K4XUIBQ5M4KUASVNP26PZFFL2C \
  | 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: 572f44061d6715404aad7ebcfc94abd09cee5b4095fb5c0a5c2091e8b2a80ef0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6930a2c45d7b86486f4cb066949f9b5eb85e9ea4fabf46c4f1540fc7e811cdbf",
    "cross_cats_sorted": [
      "math.AG",
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2019-12-28T15:45:38Z",
    "title_canon_sha256": "a9bc1156e45244f0e235becd8a2b914033fac3db6c226c1548cbcadd45c3e285"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.12475",
    "kind": "arxiv",
    "version": 3
  }
}