Pith Number

pith:OIOEA5BU

pith:2010:OIOEA5BUW4CCKPHYSFK53EEWPC

not attested not anchored not stored refs pending

Bifurcation of Fredholm Maps I; The Index Bundle and Bifurcation

Jacobo Pejsachowicz

arxiv:1005.2077 v5 · 2010-05-07 · math.DG · math.AP · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OIOEA5BUW4CCKPHYSFK53EEWPC}

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	2026-05-18T04:13:45.876838Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

721c407434b704253cf89155dd909678a3a979a1ebeaab4ce0a5d8ee119d9579

Aliases

arxiv: 1005.2077 · arxiv_version: 1005.2077v5 · doi: 10.48550/arxiv.1005.2077 · pith_short_12: OIOEA5BUW4CC · pith_short_16: OIOEA5BUW4CCKPHY · pith_short_8: OIOEA5BU

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/OIOEA5BUW4CCKPHYSFK53EEWPC \
  | 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: 721c407434b704253cf89155dd909678a3a979a1ebeaab4ce0a5d8ee119d9579

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd919b0b8f6d2290a5573f8a562ed63adf71f8ab72558f0e31a78e881add50c5",
    "cross_cats_sorted": [
      "math.AP",
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-05-07T08:44:17Z",
    "title_canon_sha256": "23b8fa408305d6b2d9c0ee3ecb2c56d1424df0337c3fefe62907d16978ff6b0c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.2077",
    "kind": "arxiv",
    "version": 5
  }
}