Pith Number

pith:57ZNPPTS

pith:2014:57ZNPPTS2C6TVDYZWW4SFNAIDU

not attested not anchored not stored refs pending

Cohomology classes of interval positroid varieties and a conjecture of Liu

Brendan Pawlowski

arxiv:1410.7419 v3 · 2014-10-08 · math.CO · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{57ZNPPTS2C6TVDYZWW4SFNAIDU}

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	2026-05-18T00:10:04.638344Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eff2d7be72d0bd3a8f19b5b922b4081d10e3375309603f6916098705b08b2be7

Aliases

arxiv: 1410.7419 · arxiv_version: 1410.7419v3 · doi: 10.48550/arxiv.1410.7419 · pith_short_12: 57ZNPPTS2C6T · pith_short_16: 57ZNPPTS2C6TVDYZ · pith_short_8: 57ZNPPTS

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/57ZNPPTS2C6TVDYZWW4SFNAIDU \
  | 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: eff2d7be72d0bd3a8f19b5b922b4081d10e3375309603f6916098705b08b2be7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2693bc4b4cd5bfc53da5d3bc9c13f037c17a4f57bba56ed692a3693cbe0cdc12",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-10-08T19:46:56Z",
    "title_canon_sha256": "0f50e69b055a74858a36a7de21d608d29b27b61bcf496f92d468ba5bf1bcc339"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.7419",
    "kind": "arxiv",
    "version": 3
  }
}