Pith Number

pith:TBUDB2ZR

pith:2018:TBUDB2ZRIP4OE76FVLLFHBPCDI

not attested not anchored not stored refs pending

Centroaffine Duality for Spatial Polygons

Marcos Craizer, Sinesio Pesco

arxiv:1812.01086 v3 · 2018-12-03 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TBUDB2ZRIP4OE76FVLLFHBPCDI}

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	2026-05-17T23:46:29.452547Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

986830eb3143f8e27fc5aad65385e21a3b363f33bce1948ec94963d3500d938e

Aliases

arxiv: 1812.01086 · arxiv_version: 1812.01086v3 · doi: 10.48550/arxiv.1812.01086 · pith_short_12: TBUDB2ZRIP4O · pith_short_16: TBUDB2ZRIP4OE76F · pith_short_8: TBUDB2ZR

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/TBUDB2ZRIP4OE76FVLLFHBPCDI \
  | 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: 986830eb3143f8e27fc5aad65385e21a3b363f33bce1948ec94963d3500d938e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29a3b1ca18b79fe5098937eff3eb69f29d297bf305f6bb1fd08dc20327c8841f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-12-03T21:28:47Z",
    "title_canon_sha256": "6786c209fb45eda2d0da77ac6a51775b5504612676cd0313d90e8189ffb6d5e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.01086",
    "kind": "arxiv",
    "version": 3
  }
}