Pith Number

pith:PPZA7EOM

pith:2020:PPZA7EOMM6B53GSHSPZ2EDACAC

not attested not anchored not stored refs pending

Elliptic zastava

Alexander Polishchuk, Michael Finkelberg, Mykola Matviichuk

arxiv:2011.11220 v2 · 2020-11-23 · math.AG · math-ph · math.MP · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PPZA7EOMM6B53GSHSPZ2EDACAC}

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	2026-07-05T05:45:23.404690Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7bf20f91cc6783dd9a4793f3a20c0200b4faff4906c672d8a84f8ce9c38be584

Aliases

arxiv: 2011.11220 · arxiv_version: 2011.11220v2 · doi: 10.48550/arxiv.2011.11220 · pith_short_12: PPZA7EOMM6B5 · pith_short_16: PPZA7EOMM6B53GSH · pith_short_8: PPZA7EOM

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/PPZA7EOMM6B53GSHSPZ2EDACAC \
  | 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: 7bf20f91cc6783dd9a4793f3a20c0200b4faff4906c672d8a84f8ce9c38be584

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5974a8fdb6f07f7b705e82a8f0c4362a26cb10809a57b520bb07c612da21f6d",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2020-11-23T05:38:01Z",
    "title_canon_sha256": "5785eb17d7ab628de25485ea7f6adcbde455789745d98863d551ac05f2eac66f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2011.11220",
    "kind": "arxiv",
    "version": 2
  }
}