Pith Number

pith:KOS5IU4A

pith:2016:KOS5IU4AHXFTRUAFLYF2NV4BFT

not attested not anchored not stored refs pending

Phantom holomorphic projections arising from Sturm's formula

Kathrin Maurischat, Rainer Weissauer

arxiv:1605.01868 v1 · 2016-05-06 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KOS5IU4AHXFTRUAFLYF2NV4BFT}

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	2026-05-18T01:15:31.087727Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53a5d453803dcb38d0055e0ba6d7812ceea01f9fa97bb0c7bf16d596c48a35e9

Aliases

arxiv: 1605.01868 · arxiv_version: 1605.01868v1 · doi: 10.48550/arxiv.1605.01868 · pith_short_12: KOS5IU4AHXFT · pith_short_16: KOS5IU4AHXFTRUAF · pith_short_8: KOS5IU4A

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/KOS5IU4AHXFTRUAFLYF2NV4BFT \
  | 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: 53a5d453803dcb38d0055e0ba6d7812ceea01f9fa97bb0c7bf16d596c48a35e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1710368074ee51d0211b14ba6b4a8e6d55cff1e0cf9dfc3f7986d809269d2e4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-05-06T09:23:11Z",
    "title_canon_sha256": "472347edefca29e985ff1c666dcc699fb54b14f003a2aafe3a61c461894d76f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.01868",
    "kind": "arxiv",
    "version": 1
  }
}