Pith Number

pith:Z3YX6UMO

pith:2026:Z3YX6UMOEXUWLXCIIZCEGMWOFM

not attested not anchored not stored refs pending

Inductive construction of path homology chains and the structure of $\Omega_3(G;R)$

Matthew Burfitt, Tyrone Cutler

arxiv:2607.13906 v1 · 2026-07-15 · 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{Z3YX6UMOEXUWLXCIIZCEGMWOFM}

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	2026-07-16T01:23:12.885121Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cef17f518e25e965dc4846444332ce2b3fa271e8ab6ff54da0b332d858dd9191

Aliases

arxiv: 2607.13906 · arxiv_version: 2607.13906v1 · doi: 10.48550/arxiv.2607.13906 · pith_short_12: Z3YX6UMOEXUW · pith_short_16: Z3YX6UMOEXUWLXCI · pith_short_8: Z3YX6UMO

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/Z3YX6UMOEXUWLXCIIZCEGMWOFM \
  | 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: cef17f518e25e965dc4846444332ce2b3fa271e8ab6ff54da0b332d858dd9191

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33dfd7cb8e7a69c0b4bfb059886fd42d8387f3d68c4e4b391546356f0229dfc2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2026-07-15T14:46:44Z",
    "title_canon_sha256": "b2e44cf1adaae6bce2d77e7183ea2309b2948f1a4e8418608d875b7e993b494d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.13906",
    "kind": "arxiv",
    "version": 1
  }
}