Pith Number

pith:RNOQ6OVZ

pith:2013:RNOQ6OVZCJFOJRGELXPBFBDK3J

not attested not anchored not stored refs pending

A Mapping Theorem for Topological Complexity

Gregory Lupton, John Oprea, Mark Grant

arxiv:1312.7166 v1 · 2013-12-27 · 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{RNOQ6OVZCJFOJRGELXPBFBDK3J}

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	2026-05-18T01:22:24.546822Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b5d0f3ab9124ae4c4c45dde12846ada5604e9139d9880af568417745b66718c

Aliases

arxiv: 1312.7166 · arxiv_version: 1312.7166v1 · doi: 10.48550/arxiv.1312.7166 · pith_short_12: RNOQ6OVZCJFO · pith_short_16: RNOQ6OVZCJFOJRGE · pith_short_8: RNOQ6OVZ

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/RNOQ6OVZCJFOJRGELXPBFBDK3J \
  | 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: 8b5d0f3ab9124ae4c4c45dde12846ada5604e9139d9880af568417745b66718c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50063c277711e977dd03e544fe38cbcddbb0f462a7bff523afed1d93b329b166",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2013-12-27T01:03:50Z",
    "title_canon_sha256": "93f94b136928a79dd7f80c61a0fc6ced1deb80f64cb98eaf935ebff4681c8917"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.7166",
    "kind": "arxiv",
    "version": 1
  }
}