Pith Number

pith:GC5NGV5J

pith:2016:GC5NGV5JYX3AWIFYPJ46ZHUTLV

not attested not anchored not stored refs pending

Liftable vector fields, unfoldings and augmentations

Juan Jos\'e Nu\~no Ballesteros, Ra\'ul Oset Sinha

arxiv:1610.07335 v1 · 2016-10-24 · math.CV · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GC5NGV5JYX3AWIFYPJ46ZHUTLV}

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	2026-05-18T01:01:21.682190Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30bad357a9c5f60b20b87a79ec9e935d507fd084e0ad04ad2afed73bf1116807

Aliases

arxiv: 1610.07335 · arxiv_version: 1610.07335v1 · doi: 10.48550/arxiv.1610.07335 · pith_short_12: GC5NGV5JYX3A · pith_short_16: GC5NGV5JYX3AWIFY · pith_short_8: GC5NGV5J

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/GC5NGV5JYX3AWIFYPJ46ZHUTLV \
  | 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: 30bad357a9c5f60b20b87a79ec9e935d507fd084e0ad04ad2afed73bf1116807

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8930cc6ad1e669c5712dbe62cd45cfbd821a7305b47ce7d196fae04206c96104",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2016-10-24T09:25:10Z",
    "title_canon_sha256": "036c8feaab2b5f3a3362df5da15e6398f9c2ee33840e258cceb0f8c91f93eec3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.07335",
    "kind": "arxiv",
    "version": 1
  }
}