Pith Number

pith:VT745BBF

pith:2014:VT745BBFOHOE67AN5XUCSUYGOA

not attested not anchored not stored refs pending

What makes a D_0 graph Schur positive?

Jonah Blasiak

arxiv:1411.3624 v2 · 2014-11-13 · 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{VT745BBFOHOE67AN5XUCSUYGOA}

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	2026-05-18T00:54:48.345789Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

acffce842571dc4f7c0dede82953067012c311356f55d88380a75c608ba20788

Aliases

arxiv: 1411.3624 · arxiv_version: 1411.3624v2 · doi: 10.48550/arxiv.1411.3624 · pith_short_12: VT745BBFOHOE · pith_short_16: VT745BBFOHOE67AN · pith_short_8: VT745BBF

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/VT745BBFOHOE67AN5XUCSUYGOA \
  | 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: acffce842571dc4f7c0dede82953067012c311356f55d88380a75c608ba20788

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "761450f5529c969cff8d436cc2b97c82e66c3b4bcfb39a8e2a3771b26a35a759",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-11-13T17:34:59Z",
    "title_canon_sha256": "7426b9df7e042caacd5f5f54a9130e05cf0350dec75fb545f6e73ce8597e2c5e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.3624",
    "kind": "arxiv",
    "version": 2
  }
}