Pith Number

pith:ESM2RTTY

pith:2015:ESM2RTTYYLRDBEFT55WN22WNC6

not attested not anchored not stored refs pending

Homology groups of simplicial complements: A new proof of Hochster theorem

Feifei Fan, Jun Ma, Xiangjun Wang

arxiv:1501.01787 v1 · 2015-01-08 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ESM2RTTYYLRDBEFT55WN22WNC6}

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	2026-05-18T02:29:46.371302Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2499a8ce78c2e23090b3ef6cdd6acd17aea6b45acfa08b7c39ac41059f99c676

Aliases

arxiv: 1501.01787 · arxiv_version: 1501.01787v1 · doi: 10.48550/arxiv.1501.01787 · pith_short_12: ESM2RTTYYLRD · pith_short_16: ESM2RTTYYLRDBEFT · pith_short_8: ESM2RTTY

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/ESM2RTTYYLRDBEFT55WN22WNC6 \
  | 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: 2499a8ce78c2e23090b3ef6cdd6acd17aea6b45acfa08b7c39ac41059f99c676

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "145922c94df61d91ae5ec88127f335f51f3c2c17f4a6548fcc142acd13a0afd2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2015-01-08T10:21:56Z",
    "title_canon_sha256": "507d6075fac1a32514715311d18fe28c3d028ce1404f34c4706ec9b3516aa3ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.01787",
    "kind": "arxiv",
    "version": 1
  }
}