Pith Number

pith:ZK4KDKJO

pith:2015:ZK4KDKJO2VQ2JYUXSWCSVPUUHA

not attested not anchored not stored refs pending

Persistent Topology of Syntax

Alexander Port, Crystal Liang, Daniel Guth, Iulia Gheorghita, John M.Clark, Matilde Marcolli, Shival Dasu

arxiv:1507.05134 v1 · 2015-07-18 · cs.CL · 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{ZK4KDKJO2VQ2JYUXSWCSVPUUHA}

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	2026-05-18T01:36:41.361632Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cab8a1a92ed561a4e29795852abe94383e07cee76f8bfbd5889533ea1032c66b

Aliases

arxiv: 1507.05134 · arxiv_version: 1507.05134v1 · doi: 10.48550/arxiv.1507.05134 · pith_short_12: ZK4KDKJO2VQ2 · pith_short_16: ZK4KDKJO2VQ2JYUX · pith_short_8: ZK4KDKJO

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/ZK4KDKJO2VQ2JYUXSWCSVPUUHA \
  | 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: cab8a1a92ed561a4e29795852abe94383e07cee76f8bfbd5889533ea1032c66b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d238e8ba2e1f24e388b91edc277cceb9dd4199d1ba6eaa89ca4e250e0bc8615d",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CL",
    "submitted_at": "2015-07-18T00:07:52Z",
    "title_canon_sha256": "305c56402263cf959c56c0290441c925009c9cfdfa66dccadf6528deb0ba948e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.05134",
    "kind": "arxiv",
    "version": 1
  }
}