Pith Number

pith:K4YNHDPG

pith:2014:K4YNHDPGIMKQFYQZRHPI4MDEUP

not attested not anchored not stored refs pending

Iterated bar complexes and E_n-homology with coefficients

Benoit Fresse, Stephanie Ziegenhagen

arxiv:1412.6032 v2 · 2014-12-18 · 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{K4YNHDPGIMKQFYQZRHPI4MDEUP}

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	2026-05-18T02:26:46.705525Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5730d38de6431502e21989de8e3064a3cf58316d6f3eb6fe65172be0e24e251c

Aliases

arxiv: 1412.6032 · arxiv_version: 1412.6032v2 · doi: 10.48550/arxiv.1412.6032 · pith_short_12: K4YNHDPGIMKQ · pith_short_16: K4YNHDPGIMKQFYQZ · pith_short_8: K4YNHDPG

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/K4YNHDPGIMKQFYQZRHPI4MDEUP \
  | 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: 5730d38de6431502e21989de8e3064a3cf58316d6f3eb6fe65172be0e24e251c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cfc3d7df0aa7c5bfcbea3835b25cc356e7518ec84b05719c8883aaaefc56e2b2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2014-12-18T19:53:59Z",
    "title_canon_sha256": "993894ff0e844acd6343e5219492a136856239c121ee5f973e299f5b480e9377"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.6032",
    "kind": "arxiv",
    "version": 2
  }
}