Pith Number

pith:ML6KPN7P

pith:2015:ML6KPN7P67ARG3NKQXYCFFZVLL

not attested not anchored not stored refs pending

Using simplicial volume to count multi-tangent trajectories of traversing vector fields

Gabriel Katz, Hannah Alpert

arxiv:1503.02583 v1 · 2015-03-09 · math.DG · math.GT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ML6KPN7P67ARG3NKQXYCFFZVLL}

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	2026-05-18T02:25:19.356593Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62fca7b7eff7c1136daa85f02297355ada51ec7f8cc23d1ccf7fbf1a248d9d63

Aliases

arxiv: 1503.02583 · arxiv_version: 1503.02583v1 · doi: 10.48550/arxiv.1503.02583 · pith_short_12: ML6KPN7P67AR · pith_short_16: ML6KPN7P67ARG3NK · pith_short_8: ML6KPN7P

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/ML6KPN7P67ARG3NKQXYCFFZVLL \
  | 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: 62fca7b7eff7c1136daa85f02297355ada51ec7f8cc23d1ccf7fbf1a248d9d63

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c5f438af5ca564737021f7b8afffdb7bc7f76e922a08632d57dbc01bc2546ec",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-03-09T17:50:37Z",
    "title_canon_sha256": "c04c50ca0d0ad729c3b287d0d50d3d0e2da6b93ee91ace74535a6b73f2eb8b87"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.02583",
    "kind": "arxiv",
    "version": 1
  }
}