Pith Number

pith:67LWQLC6

pith:2017:67LWQLC6FJYFCSGVSVI7DXEXTJ

not attested not anchored not stored refs pending

Discrete Gradient Line Fields on Surfaces

Carlos Tomei, Joao Paixao, Thomas Lewiner, Tiago Novello

arxiv:1712.08136 v2 · 2017-12-21 · math.GT · cs.CG · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{67LWQLC6FJYFCSGVSVI7DXEXTJ}

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	2026-05-18T00:27:08.837793Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7d7682c5e2a705148d59551f1dc979a7a3fe2134f50a0962805e514499af617

Aliases

arxiv: 1712.08136 · arxiv_version: 1712.08136v2 · doi: 10.48550/arxiv.1712.08136 · pith_short_12: 67LWQLC6FJYF · pith_short_16: 67LWQLC6FJYFCSGV · pith_short_8: 67LWQLC6

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/67LWQLC6FJYFCSGVSVI7DXEXTJ \
  | 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: f7d7682c5e2a705148d59551f1dc979a7a3fe2134f50a0962805e514499af617

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14315eb508ed7e3532215e490db2c454a88ce823da5d360ab59206bf52812ffe",
    "cross_cats_sorted": [
      "cs.CG",
      "cs.DM"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-12-21T18:18:36Z",
    "title_canon_sha256": "d2d4a14f8394bafcd48d5b11b252ba77cea88422085748f8ec0c16febee5d21f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.08136",
    "kind": "arxiv",
    "version": 2
  }
}