Pith Number

pith:KFZPYPCH

pith:2012:KFZPYPCHHCDQZWAJDU763XU5J3

not attested not anchored not stored refs pending

A remark on Zak's theorem on tangencies

Jos\'e Carlos Sierra

arxiv:1203.0208 v1 · 2012-03-01 · 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{KFZPYPCHHCDQZWAJDU763XU5J3}

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	2026-05-18T04:01:02.860407Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5172fc3c4738870cd8091d3fedde9d4eed049e5a98ac9ee79e2461365dbb376c

Aliases

arxiv: 1203.0208 · arxiv_version: 1203.0208v1 · doi: 10.48550/arxiv.1203.0208 · pith_short_12: KFZPYPCHHCDQ · pith_short_16: KFZPYPCHHCDQZWAJ · pith_short_8: KFZPYPCH

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/KFZPYPCHHCDQZWAJDU763XU5J3 \
  | 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: 5172fc3c4738870cd8091d3fedde9d4eed049e5a98ac9ee79e2461365dbb376c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31eb85e41eee83d27cfe9fcbefe26e863ba497def21b1631d3901cd1b9dbd7a6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-03-01T15:04:21Z",
    "title_canon_sha256": "f94144ec571e18dc8dea1ae62f14e07690c1172135aa38d368e4f7b2ae8d4a50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.0208",
    "kind": "arxiv",
    "version": 1
  }
}