Pith Number

pith:3H4VNYHJ

pith:2014:3H4VNYHJVFUN3ER2YU53VYGSNP

not attested not anchored not stored refs pending

Connectedness Bertini Theorem via numerical equivalence

Diletta Martinelli, Gian Pietro Pirola, Juan Carlos Naranjo

arxiv:1412.1978 v2 · 2014-12-05 · 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{3H4VNYHJVFUN3ER2YU53VYGSNP}

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	2026-05-18T01:33:06.629289Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9f956e0e9a968dd923ac53bbae0d26bcf2760dff9774adb0bccc3b49cea9ef0

Aliases

arxiv: 1412.1978 · arxiv_version: 1412.1978v2 · doi: 10.48550/arxiv.1412.1978 · pith_short_12: 3H4VNYHJVFUN · pith_short_16: 3H4VNYHJVFUN3ER2 · pith_short_8: 3H4VNYHJ

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/3H4VNYHJVFUN3ER2YU53VYGSNP \
  | 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: d9f956e0e9a968dd923ac53bbae0d26bcf2760dff9774adb0bccc3b49cea9ef0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "689e8e9107b48024bbd2107769fe9a909b71f5bd2a608c775683fb73019d865e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-12-05T12:19:56Z",
    "title_canon_sha256": "1c4a3b15f08dd843640abb849348eabe6fd82b6c5e0d7cd2919a380619c2f669"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.1978",
    "kind": "arxiv",
    "version": 2
  }
}