Pith Number

pith:T53DFXRQ

pith:2007:T53DFXRQPQHI4FKD7GSTN2JYZP

not attested not anchored not stored refs pending

Z_2 actions on complexes with three non-trivial cells

Mahender Singh

arxiv:0708.4310 v8 · 2007-08-31 · 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{T53DFXRQPQHI4FKD7GSTN2JYZP}

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	2026-05-18T04:40:20.877428Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f7632de307c0e8e1543f9a536e938cbd4b9a3a9f0180a30a0c320adf0c722b6

Aliases

arxiv: 0708.4310 · arxiv_version: 0708.4310v8 · doi: 10.48550/arxiv.0708.4310 · pith_short_12: T53DFXRQPQHI · pith_short_16: T53DFXRQPQHI4FKD · pith_short_8: T53DFXRQ

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/T53DFXRQPQHI4FKD7GSTN2JYZP \
  | 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: 9f7632de307c0e8e1543f9a536e938cbd4b9a3a9f0180a30a0c320adf0c722b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3573ebe46f0f1f562d5f31661524cb11b13de16e32bb341db75489d3cb21d55f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2007-08-31T11:11:46Z",
    "title_canon_sha256": "6aff065ee3056548928cb01e7efb6a115cdc22549b9a69138151570ba16d8267"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0708.4310",
    "kind": "arxiv",
    "version": 8
  }
}