Pith Number

pith:TKS5E5CT

pith:2018:TKS5E5CTX637YQNXI65LGJG4M5

not attested not anchored not stored refs pending

Computing Schur complexes

Claudiu Raicu, Hang Huang, Jo\~ao Pedro Santos, Michael K. Brown, Michael Perlman, Robert P. Laudone, Steven V Sam

arxiv:1812.00790 v2 · 2018-12-03 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TKS5E5CTX637YQNXI65LGJG4M5}

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	2026-07-05T00:39:53.951273Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9aa5d27453bfb7fc41b747bab324dc67428a4f465551895bc5e15f5d6e8ca614

Aliases

arxiv: 1812.00790 · arxiv_version: 1812.00790v2 · doi: 10.48550/arxiv.1812.00790 · pith_short_12: TKS5E5CTX637 · pith_short_16: TKS5E5CTX637YQNX · pith_short_8: TKS5E5CT

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/TKS5E5CTX637YQNXI65LGJG4M5 \
  | 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: 9aa5d27453bfb7fc41b747bab324dc67428a4f465551895bc5e15f5d6e8ca614

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04c4bfa4a5f48134553367ce023ca16cdeb153b65dd33a837f03c44c547f59ad",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2018-12-03T14:46:24Z",
    "title_canon_sha256": "cc7cac95863ef2dd6ff3f465fd7c50fc61d052713644b584be698ab4f10a5214"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.00790",
    "kind": "arxiv",
    "version": 2
  }
}