Pith Number

pith:X66WLLOB

pith:2013:X66WLLOBM4IW36BGTJRUC7TZU4

not attested not anchored not stored refs pending

On Araujo's Theorem for flows

Alexander Arbieto, Bruno Santiago, Carlos Morales

arxiv:1307.5796 v1 · 2013-07-22 · 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{X66WLLOBM4IW36BGTJRUC7TZU4}

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	2026-05-18T03:17:54.566955Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bfbd65adc167116df8269a63417e79a73f77555ac06cfc3945d64c704f06a91c

Aliases

arxiv: 1307.5796 · arxiv_version: 1307.5796v1 · doi: 10.48550/arxiv.1307.5796 · pith_short_12: X66WLLOBM4IW · pith_short_16: X66WLLOBM4IW36BG · pith_short_8: X66WLLOB

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/X66WLLOBM4IW36BGTJRUC7TZU4 \
  | 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: bfbd65adc167116df8269a63417e79a73f77555ac06cfc3945d64c704f06a91c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5a3e5d057d85a78c5d8d34a455f20e152d5f53e1a8eae072117880894f7ee5e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-07-22T17:36:49Z",
    "title_canon_sha256": "db022c90181c4eac0bcbc394a7524d490890504af4a20246eb25e2958ab0915e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.5796",
    "kind": "arxiv",
    "version": 1
  }
}