Pith Number

pith:XTDGGIVV

pith:2012:XTDGGIVVDISTP324BQNMTDIIT6

not attested not anchored not stored refs pending

Handel's fixed point theorem revisited

Juliana Xavier

arxiv:1208.2213 v1 · 2012-08-10 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XTDGGIVVDISTP324BQNMTDIIT6}

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	2026-05-18T03:48:59.863480Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bcc66322b51a2537ef5c0c1ac98d089f92ea57f69597ec63a07e538c51ac7c93

Aliases

arxiv: 1208.2213 · arxiv_version: 1208.2213v1 · doi: 10.48550/arxiv.1208.2213 · pith_short_12: XTDGGIVVDIST · pith_short_16: XTDGGIVVDISTP324 · pith_short_8: XTDGGIVV

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/XTDGGIVVDISTP324BQNMTDIIT6 \
  | 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: bcc66322b51a2537ef5c0c1ac98d089f92ea57f69597ec63a07e538c51ac7c93

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52e8efdc818864145145d8f468c16b3b74a2841df785b656e17a67c47967d6bb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-08-10T16:52:54Z",
    "title_canon_sha256": "98623c8c2ea05d40c10c4b47527ac822cdd2d3bcba8428dba8a3237520ca8940"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.2213",
    "kind": "arxiv",
    "version": 1
  }
}