Pith Number

pith:FP3XN5VP

pith:2015:FP3XN5VPFWKXWIMUY7JFTERUQO

not attested not anchored not stored refs pending

Deciding almost freeness of an action is NP-hard

Manuel Amann

arxiv:1508.04385 v1 · 2015-08-18 · 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{FP3XN5VPFWKXWIMUY7JFTERUQO}

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	2026-05-18T01:35:05.481535Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2bf776f6af2d957b2194c7d259923483988e8692ea0da445068820c4045b96c9

Aliases

arxiv: 1508.04385 · arxiv_version: 1508.04385v1 · doi: 10.48550/arxiv.1508.04385 · pith_short_12: FP3XN5VPFWKX · pith_short_16: FP3XN5VPFWKXWIMU · pith_short_8: FP3XN5VP

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/FP3XN5VPFWKXWIMUY7JFTERUQO \
  | 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: 2bf776f6af2d957b2194c7d259923483988e8692ea0da445068820c4045b96c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77cf1eb3c4f63c5b55e58885a7d5c1b46f5c78f7b8359aa246754fa201effba1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2015-08-18T17:10:36Z",
    "title_canon_sha256": "1ad93046f12716038432fad1e707ca9998a588490fd492f6d4cbd391d07bc0f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.04385",
    "kind": "arxiv",
    "version": 1
  }
}