Pith Number

pith:42NMBBW6

pith:2017:42NMBBW6FAJJIIE5L3S4K55BIT

not attested not anchored not stored refs pending

Normal forms of bireversible vector fields

I.O. Zeli, M. Manoel, P. H. Baptistelli

arxiv:1702.04658 v1 · 2017-02-15 · 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{42NMBBW6FAJJIIE5L3S4K55BIT}

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	2026-05-18T00:50:41.002737Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e69ac086de281294209d5ee5c577a144c8f78e8adc399ec7d20f16f99a03ae4f

Aliases

arxiv: 1702.04658 · arxiv_version: 1702.04658v1 · doi: 10.48550/arxiv.1702.04658 · pith_short_12: 42NMBBW6FAJJ · pith_short_16: 42NMBBW6FAJJIIE5 · pith_short_8: 42NMBBW6

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/42NMBBW6FAJJIIE5L3S4K55BIT \
  | 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: e69ac086de281294209d5ee5c577a144c8f78e8adc399ec7d20f16f99a03ae4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12b181876b77a4473cfa11049d675b9987d063448cca671805a36005a74b4448",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-02-15T15:49:59Z",
    "title_canon_sha256": "0329439e2286e07c5909b713caac29a8e2f4ac98fc27f6d88466f8a433263a03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.04658",
    "kind": "arxiv",
    "version": 1
  }
}