Pith Number

pith:KYFCLQUX

pith:2010:KYFCLQUXRHW7MUG5YS77TQHM35

not attested not anchored not stored refs pending

On symmetric products of curves

Francesco Bastianelli

arxiv:1001.5006 v2 · 2010-01-27 · 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{KYFCLQUXRHW7MUG5YS77TQHM35}

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	2026-05-18T02:41:17.415527Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

560a25c29789edf650ddc4bff9c0ecdf5ff9b85cf21b83f6ce64ab0df6d4adb9

Aliases

arxiv: 1001.5006 · arxiv_version: 1001.5006v2 · doi: 10.48550/arxiv.1001.5006 · pith_short_12: KYFCLQUXRHW7 · pith_short_16: KYFCLQUXRHW7MUG5 · pith_short_8: KYFCLQUX

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/KYFCLQUXRHW7MUG5YS77TQHM35 \
  | 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: 560a25c29789edf650ddc4bff9c0ecdf5ff9b85cf21b83f6ce64ab0df6d4adb9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87b685cdcbc887a6ab7bedc5d7ef7f49c6a26803278231dd86e42f6b949216e5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-01-27T19:24:14Z",
    "title_canon_sha256": "54302ff30f240c3d016be700f8d205bcadf513d3bff5ca279725ca39ef23a356"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.5006",
    "kind": "arxiv",
    "version": 2
  }
}