Pith Number

pith:BYLAZNJB

pith:2016:BYLAZNJBTVU7KZ5SWWAG7SUWEG

not attested not anchored not stored refs pending

Skeletons of stable maps II: Superabundant geometries

Dhruv Ranganathan

arxiv:1609.07090 v2 · 2016-09-22 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BYLAZNJBTVU7KZ5SWWAG7SUWEG}

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	2026-05-18T00:41:47.909101Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e160cb5219d69f567b2b5806fca9621bd5e58de4ccca78b5f70f80451ca1029

Aliases

arxiv: 1609.07090 · arxiv_version: 1609.07090v2 · doi: 10.48550/arxiv.1609.07090 · pith_short_12: BYLAZNJBTVU7 · pith_short_16: BYLAZNJBTVU7KZ5S · pith_short_8: BYLAZNJB

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/BYLAZNJBTVU7KZ5SWWAG7SUWEG \
  | 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: 0e160cb5219d69f567b2b5806fca9621bd5e58de4ccca78b5f70f80451ca1029

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18e6fb1f4b40846977a1c520ad14705797bdf23bdbea9a649aa683e53f3cfee2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-09-22T18:02:52Z",
    "title_canon_sha256": "05aa9975de5ba7e46ca4e23a4333d86a7a8d2042a25006436a482397e9aef232"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.07090",
    "kind": "arxiv",
    "version": 2
  }
}