Pith Number

pith:7RG4OTMA

pith:2013:7RG4OTMAGSEAXS24QM6WFKENNQ

not attested not anchored not stored refs pending

Ramification conjecture and Hirzebruch's property of line arrangements

Anton Petrunin, Dima Panov

arxiv:1312.6856 v5 · 2013-12-24 · math.GT · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7RG4OTMAGSEAXS24QM6WFKENNQ}

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	2026-05-18T00:11:24.154756Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc4dc74d8034880bcb5c833d62a88d6c30b59f30d3083635089e9dfffce86821

Aliases

arxiv: 1312.6856 · arxiv_version: 1312.6856v5 · doi: 10.48550/arxiv.1312.6856 · pith_short_12: 7RG4OTMAGSEA · pith_short_16: 7RG4OTMAGSEAXS24 · pith_short_8: 7RG4OTMA

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/7RG4OTMAGSEAXS24QM6WFKENNQ \
  | 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: fc4dc74d8034880bcb5c833d62a88d6c30b59f30d3083635089e9dfffce86821

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71ead54f4326f61d1adbba816b07a2baf534a35343c27571f80b9354d16d7abc",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-12-24T17:19:44Z",
    "title_canon_sha256": "3f8fe92c4a92ff1f2bbfe1fb8b889e655e7e9834827649c6545fe7e4d249c5b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.6856",
    "kind": "arxiv",
    "version": 5
  }
}