Pith Number

pith:3VAWFUXM

pith:2015:3VAWFUXMFMEOLGENEGSPHRQHX2

not attested not anchored not stored refs pending

Fiber surfaces from alternating states

Ant\'onio Salgueiro, Darlan Gir\~ao, Jo\~ao M. Nogueira

arxiv:1506.05701 v1 · 2015-06-18 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3VAWFUXMFMEOLGENEGSPHRQHX2}

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	2026-05-18T01:44:09.948242Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd4162d2ec2b08e5988d21a4f3c607bebcf50794f644f3e51b9b4675508aadb4

Aliases

arxiv: 1506.05701 · arxiv_version: 1506.05701v1 · doi: 10.48550/arxiv.1506.05701 · pith_short_12: 3VAWFUXMFMEO · pith_short_16: 3VAWFUXMFMEOLGEN · pith_short_8: 3VAWFUXM

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/3VAWFUXMFMEOLGENEGSPHRQHX2 \
  | 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: dd4162d2ec2b08e5988d21a4f3c607bebcf50794f644f3e51b9b4675508aadb4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc66f0553db2f940c59c2a9ac72fd30468559873364091b6ce1c374b5be3ff9a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-06-18T14:44:44Z",
    "title_canon_sha256": "d01b291007fae8aff8b013f7947ba23b5a3cc9d17010865a68de89d1902487aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.05701",
    "kind": "arxiv",
    "version": 1
  }
}