Pith Number

pith:HDDDK6F6

pith:2016:HDDDK6F6HLW27PPGIKY4TS2NAK

not attested not anchored not stored refs pending

Families of elliptic curves in $\mathbb{P}^3$ and Bridgeland Stability

Benjamin Schmidt, C\'esar Lozano Huerta, Patricio Gallardo

arxiv:1609.08184 v3 · 2016-09-26 · 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{HDDDK6F6HLW27PPGIKY4TS2NAK}

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	2026-05-17T23:53:12.119767Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38c63578be3aedafbde642b1c9cb4d02b9aa7e31d34617dec1d6b34e118e9d09

Aliases

arxiv: 1609.08184 · arxiv_version: 1609.08184v3 · doi: 10.48550/arxiv.1609.08184 · pith_short_12: HDDDK6F6HLW2 · pith_short_16: HDDDK6F6HLW27PPG · pith_short_8: HDDDK6F6

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/HDDDK6F6HLW27PPGIKY4TS2NAK \
  | 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: 38c63578be3aedafbde642b1c9cb4d02b9aa7e31d34617dec1d6b34e118e9d09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2bcb0d2710c96eab270cc7d00c79570c017cb6c4f45cc6dabe65b116cbabc8e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-09-26T20:44:49Z",
    "title_canon_sha256": "ee04235afc19b160347158ae627f681cf5a6b0647e4bb095c40a5f6794a1e51e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.08184",
    "kind": "arxiv",
    "version": 3
  }
}