Pith Number

pith:6CZKYTPJ

pith:2017:6CZKYTPJHT3XLXMP242ZHA5BYN

not attested not anchored not stored refs pending

Generating families and augmentations for Legendrian surfaces

Dan Rutherford, Michael G Sullivan

arxiv:1703.04656 v2 · 2017-03-14 · 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{6CZKYTPJHT3XLXMP242ZHA5BYN}

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	2026-05-18T00:18:53.898562Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0b2ac4de93cf775dd8fd7359383a1c3784c64fe86d5f371eb11988ff2605d73

Aliases

arxiv: 1703.04656 · arxiv_version: 1703.04656v2 · doi: 10.48550/arxiv.1703.04656 · pith_short_12: 6CZKYTPJHT3X · pith_short_16: 6CZKYTPJHT3XLXMP · pith_short_8: 6CZKYTPJ

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/6CZKYTPJHT3XLXMP242ZHA5BYN \
  | 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: f0b2ac4de93cf775dd8fd7359383a1c3784c64fe86d5f371eb11988ff2605d73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0390023a46e80f913e04347f0775f18867de29b42b42e8d6e1f06dd1379b608a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2017-03-14T18:42:38Z",
    "title_canon_sha256": "e84f76ebb607d188a8e5ba22bad04fb01e054f3e7f70e24a54988b61779e9ebb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.04656",
    "kind": "arxiv",
    "version": 2
  }
}