Pith Number

pith:UOFA3BFC

pith:2010:UOFA3BFCPIYJAEPKOZ7FPZOXHO

not attested not anchored not stored refs pending

Periodic orbits of Euler vector fields on 3-manifolds

Ana Rechtman

arxiv:1011.5253 v5 · 2010-11-23 · 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{UOFA3BFCPIYJAEPKOZ7FPZOXHO}

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	2026-05-18T02:59:16.690265Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a38a0d84a27a309011ea767e57e5d73b8d614ceaa60db77e0b76608d35331f57

Aliases

arxiv: 1011.5253 · arxiv_version: 1011.5253v5 · doi: 10.48550/arxiv.1011.5253 · pith_short_12: UOFA3BFCPIYJ · pith_short_16: UOFA3BFCPIYJAEPK · pith_short_8: UOFA3BFC

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/UOFA3BFCPIYJAEPKOZ7FPZOXHO \
  | 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: a38a0d84a27a309011ea767e57e5d73b8d614ceaa60db77e0b76608d35331f57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a45cec83bda7073e620049076a3d378b98606547d8c844b5f33f6af8c5286b34",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-11-23T22:56:56Z",
    "title_canon_sha256": "d193aad3fc49cf04c4e7315ef575ab40b86fc826c7c22ad08f02da208506a5ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.5253",
    "kind": "arxiv",
    "version": 5
  }
}