Pith Number

pith:NPE65O3A

pith:2016:NPE65O3AXI3SC4JBLBGWQKLIPR

not attested not anchored not stored refs pending

Planar Legendrian $\Theta$-graphs

Danielle O'Donnol, Peter Lambert-Cole

arxiv:1606.00486 v1 · 2016-06-01 · 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{NPE65O3AXI3SC4JBLBGWQKLIPR}

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	2026-05-18T01:13:04.294248Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6bc9eebb60ba37217121584d6829687c4ba59cb955ded74c0bf6ea442a8ee02c

Aliases

arxiv: 1606.00486 · arxiv_version: 1606.00486v1 · doi: 10.48550/arxiv.1606.00486 · pith_short_12: NPE65O3AXI3S · pith_short_16: NPE65O3AXI3SC4JB · pith_short_8: NPE65O3A

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/NPE65O3AXI3SC4JBLBGWQKLIPR \
  | 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: 6bc9eebb60ba37217121584d6829687c4ba59cb955ded74c0bf6ea442a8ee02c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d761c95ab1bcbfaf8717cd57fd76104f02a3994d73e5784330cb7cf1c4aff4af",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-06-01T22:15:34Z",
    "title_canon_sha256": "6b9df39f4ef33f3c365a7abad1055d46c38fa8247ce9b585769b2194bf032d07"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.00486",
    "kind": "arxiv",
    "version": 1
  }
}