Pith Number

pith:HTHW3XGI

pith:2015:HTHW3XGIM2SRZTBWRQRA7JM6DI

not attested not anchored not stored refs pending

Cohen-Macaulay-ness in codimension for simplicial complexes and expansion functor

Rahim Rahmati-Asghar

arxiv:1503.03229 v1 · 2015-03-11 · 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{HTHW3XGIM2SRZTBWRQRA7JM6DI}

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	2026-05-18T00:52:34.609563Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ccf6ddcc866a51ccc368c220fa59e1a1faa152a6c8e847cfb4fda1f75aab8ba

Aliases

arxiv: 1503.03229 · arxiv_version: 1503.03229v1 · doi: 10.48550/arxiv.1503.03229 · pith_short_12: HTHW3XGIM2SR · pith_short_16: HTHW3XGIM2SRZTBW · pith_short_8: HTHW3XGI

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/HTHW3XGIM2SRZTBWRQRA7JM6DI \
  | 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: 3ccf6ddcc866a51ccc368c220fa59e1a1faa152a6c8e847cfb4fda1f75aab8ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46c5a450ff848a0b72332c1f174b1d0472f464b277951502b7246a7c84fd7634",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-03-11T09:10:57Z",
    "title_canon_sha256": "0ff5b05959e84fc8f9a856857ac6d90860ce562f008971c08d08f38515301f55"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.03229",
    "kind": "arxiv",
    "version": 1
  }
}