Pith Number

pith:HQRBYH4N

pith:2024:HQRBYH4NBYTFPHLNUA6JVLNJPG

not attested not anchored not stored refs pending

Symmetry of meromorphic differentials produced by involution identity, and relation to integer partitions

Alexander Hock (Heidelberg), Raimar Wulkenhaar (M\"unster), Sergey Shadrin (Amsterdam)

arxiv:2501.00082 v2 · 2024-12-30 · math.CV · math-ph · math.CO · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HQRBYH4NBYTFPHLNUA6JVLNJPG}

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	2026-07-05T09:59:02.127538Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c221c1f8d0e26579d6da03c9aada97989d647e6904ff365c8f6d372b995d6b3

Aliases

arxiv: 2501.00082 · arxiv_version: 2501.00082v2 · doi: 10.48550/arxiv.2501.00082 · pith_short_12: HQRBYH4NBYTF · pith_short_16: HQRBYH4NBYTFPHLN · pith_short_8: HQRBYH4N

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/HQRBYH4NBYTFPHLNUA6JVLNJPG \
  | 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: 3c221c1f8d0e26579d6da03c9aada97989d647e6904ff365c8f6d372b995d6b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29d2f7169a4e96ff193190460905951203a4b964c52117566c444f6a7829b475",
    "cross_cats_sorted": [
      "math-ph",
      "math.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2024-12-30T16:50:28Z",
    "title_canon_sha256": "e085393705a725b926f92c2e506baa92192b7f73755cf9f49814ff8d33aea691"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.00082",
    "kind": "arxiv",
    "version": 2
  }
}