Pith Number

pith:HIMYAGBE

pith:2016:HIMYAGBEMD66E6ASHG4P7RM53R

not attested not anchored not stored refs pending

Irreducibility of the Picard-Fuchs equation related to the Lotka-Volterra polynomial $ x^2 y^2(1-x-y) $

Lubomir Gavrilov

arxiv:1612.09560 v2 · 2016-12-30 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HIMYAGBEMD66E6ASHG4P7RM53R}

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	2026-05-18T00:51:57.105614Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a1980182460fde2781239b8ffc59ddc6be6254f3f0eaa8466a5fba5e8997b34

Aliases

arxiv: 1612.09560 · arxiv_version: 1612.09560v2 · doi: 10.48550/arxiv.1612.09560 · pith_short_12: HIMYAGBEMD66 · pith_short_16: HIMYAGBEMD66E6AS · pith_short_8: HIMYAGBE

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/HIMYAGBEMD66E6ASHG4P7RM53R \
  | 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: 3a1980182460fde2781239b8ffc59ddc6be6254f3f0eaa8466a5fba5e8997b34

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd9c0982fb2228b8d059d74c8c8b56d277536c53597ee7adb10ed9d4d120f14b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-12-30T18:58:11Z",
    "title_canon_sha256": "b81d88eb8b0e2802a6eb6d69b014712a5e40b51e70e286aa32418859a95f9e6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.09560",
    "kind": "arxiv",
    "version": 2
  }
}