Pith Number

pith:TUJA5ZZP

pith:2017:TUJA5ZZPZKNENK43X2IVOLRT25

not attested not anchored not stored refs pending

On Bloch's Theorem and the contraction mapping principle

Jean C. Cortissoz, Julio A. Montero

arxiv:1702.01080 v3 · 2017-02-03 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TUJA5ZZPZKNENK43X2IVOLRT25}

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	2026-05-18T00:50:09.019706Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d120ee72fca9a46ab9bbe91572e33d75b8fba7fccdf1f88ab5604d80c818792

Aliases

arxiv: 1702.01080 · arxiv_version: 1702.01080v3 · doi: 10.48550/arxiv.1702.01080 · pith_short_12: TUJA5ZZPZKNE · pith_short_16: TUJA5ZZPZKNENK43 · pith_short_8: TUJA5ZZP

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/TUJA5ZZPZKNENK43X2IVOLRT25 \
  | 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: 9d120ee72fca9a46ab9bbe91572e33d75b8fba7fccdf1f88ab5604d80c818792

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1664a7f2a4c096389a467ba7b9a3b6f01dde3ef8794874cb69eb496edd2d5efb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2017-02-03T17:12:07Z",
    "title_canon_sha256": "9d00df45475d99e5d27bafa92a169088af20b808514ba319f3ee789a83cb4805"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.01080",
    "kind": "arxiv",
    "version": 3
  }
}