Pith Number

pith:FQRL5YBF

pith:2019:FQRL5YBFU4WYCCWI2L47PDEUOT

not attested not anchored not stored refs pending

Notes on Projective, Contact, and Null Curves

Robert L. Bryant

arxiv:1905.06117 v1 · 2019-05-15 · math.AG · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FQRL5YBFU4WYCCWI2L47PDEUOT}

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	2026-05-17T23:46:07.429231Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c22bee025a72d810ac8d2f9f78c9474ca1b2bacf3fd6fed6450f02af57fd56a

Aliases

arxiv: 1905.06117 · arxiv_version: 1905.06117v1 · doi: 10.48550/arxiv.1905.06117 · pith_short_12: FQRL5YBFU4WY · pith_short_16: FQRL5YBFU4WYCCWI · pith_short_8: FQRL5YBF

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/FQRL5YBFU4WYCCWI2L47PDEUOT \
  | 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: 2c22bee025a72d810ac8d2f9f78c9474ca1b2bacf3fd6fed6450f02af57fd56a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a0338c292f04642ba42d69945b1c9ce9a410be41f6684289bbf397b4cea1a32",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-05-15T12:11:43Z",
    "title_canon_sha256": "18e9508a1a663d4fb8217e093d3aa3278a58f9e902ef4e3ba9a719b6e02bd866"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.06117",
    "kind": "arxiv",
    "version": 1
  }
}