Pith Number

pith:WRI7VV4L

pith:2013:WRI7VV4LD2P6LYIFY53E3BA4T5

not attested not anchored not stored refs pending

Generalized Macaulay representations and the flag $f$-vectors of generalized colored complexes

Kai Fong Ernest Chong

arxiv:1306.1787 v2 · 2013-06-07 · 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{WRI7VV4LD2P6LYIFY53E3BA4T5}

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	2026-05-18T02:33:25.651029Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b451fad78b1e9fe5e105c7764d841c9f528c984bab3b99f652b77a0ae51df210

Aliases

arxiv: 1306.1787 · arxiv_version: 1306.1787v2 · doi: 10.48550/arxiv.1306.1787 · pith_short_12: WRI7VV4LD2P6 · pith_short_16: WRI7VV4LD2P6LYIF · pith_short_8: WRI7VV4L

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/WRI7VV4LD2P6LYIFY53E3BA4T5 \
  | 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: b451fad78b1e9fe5e105c7764d841c9f528c984bab3b99f652b77a0ae51df210

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "774da2f058ef819e4001f5f8a315b48dd0c62037222b034c5335d058946e0731",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-06-07T17:36:07Z",
    "title_canon_sha256": "1b7ec43f84681fa6792051658aa2d6a5a3e47d8c5d0f1b47e926f2b60a7a666a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.1787",
    "kind": "arxiv",
    "version": 2
  }
}