Pith Number

pith:7NLPKF75

pith:2018:7NLPKF75A2YA5HQ67PA2BMNTEZ

not attested not anchored not stored refs pending

Submersions by Lie algebroids

Pedro Frejlich

arxiv:1807.08382 v1 · 2018-07-22 · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7NLPKF75A2YA5HQ67PA2BMNTEZ}

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	2026-05-17T23:53:29.853691Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb56f517fd06b00e9e1efbc1a0b1b32646b4a10cd390709f05c64f4b3e80ac8e

Aliases

arxiv: 1807.08382 · arxiv_version: 1807.08382v1 · doi: 10.48550/arxiv.1807.08382 · pith_short_12: 7NLPKF75A2YA · pith_short_16: 7NLPKF75A2YA5HQ6 · pith_short_8: 7NLPKF75

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/7NLPKF75A2YA5HQ67PA2BMNTEZ \
  | 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: fb56f517fd06b00e9e1efbc1a0b1b32646b4a10cd390709f05c64f4b3e80ac8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85a63c7379eb4ca7f386c4e9278af0d17a4b4f9552959d490bc266a4942b0e6b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2018-07-22T23:21:54Z",
    "title_canon_sha256": "fd2506b31745b430a1843f492cfa3243156d2b2a53be528ad5de286117842ae0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.08382",
    "kind": "arxiv",
    "version": 1
  }
}