Pith Number

pith:P2U555BF

pith:2019:P2U555BF344MRU4XSAUY32VTGF

not attested not anchored not stored refs pending

An analytic bifurcation principle for Fredholm operators

Matthias Stiefenhofer

arxiv:1906.08005 v2 · 2019-06-19 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P2U555BF344MRU4XSAUY32VTGF}

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	2026-05-17T23:39:39.325695Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ea9def425df38c8d39790298deab3315022727b42e839f01198210fb6a48352

Aliases

arxiv: 1906.08005 · arxiv_version: 1906.08005v2 · doi: 10.48550/arxiv.1906.08005 · pith_short_12: P2U555BF344M · pith_short_16: P2U555BF344MRU4X · pith_short_8: P2U555BF

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/P2U555BF344MRU4XSAUY32VTGF \
  | 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: 7ea9def425df38c8d39790298deab3315022727b42e839f01198210fb6a48352

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17c1dac9f3643e45becbb210374d59940d2a1369f6a31971fd5e06053b4f2dab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-06-19T10:01:03Z",
    "title_canon_sha256": "a6ee84b5a1ae88328b5e12ba970cc7312245e8b3974ce429b0ce00363ce47706"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.08005",
    "kind": "arxiv",
    "version": 2
  }
}