Pith Number

pith:3TJD2N4J

pith:2015:3TJD2N4JOCIHUE4NEAQJN7L3AG

not attested not anchored not stored refs pending

Homology of spaces of directed paths in Euclidean pattern spaces

Martin Raussen, Roy Meshulam

arxiv:1512.05978 v2 · 2015-12-18 · 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{3TJD2N4JOCIHUE4NEAQJN7L3AG}

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	2026-05-18T00:56:46.533237Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dcd23d378970907a138d202096fd7b01826592530e41919a2a6bda7a82d089e8

Aliases

arxiv: 1512.05978 · arxiv_version: 1512.05978v2 · doi: 10.48550/arxiv.1512.05978 · pith_short_12: 3TJD2N4JOCIH · pith_short_16: 3TJD2N4JOCIHUE4N · pith_short_8: 3TJD2N4J

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/3TJD2N4JOCIHUE4NEAQJN7L3AG \
  | 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: dcd23d378970907a138d202096fd7b01826592530e41919a2a6bda7a82d089e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2921a20218bde87a195c69af5cffb2e8e1846ee8775fa60d008d80aefa5ccc0d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-12-18T14:48:39Z",
    "title_canon_sha256": "3d1e9ccab23a466fef07d20150b9849daf2009d46c15ae7017fddb8d8da1466a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.05978",
    "kind": "arxiv",
    "version": 2
  }
}