Pith Number

pith:VTEHXJHI

pith:2010:VTEHXJHIJASQ7QHE6Z3KX2DVYW

not attested not anchored not stored refs pending

Birational invariants and A^1-connectedness

Aravind Asok

arxiv:1001.4574 v5 · 2010-01-26 · math.AG · math.AT · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VTEHXJHIJASQ7QHE6Z3KX2DVYW}

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	2026-05-18T02:24:39.451425Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

acc87ba4e848250fc0e4f676abe875c59733c963ddb49b6615801b6012798a01

Aliases

arxiv: 1001.4574 · arxiv_version: 1001.4574v5 · doi: 10.48550/arxiv.1001.4574 · pith_short_12: VTEHXJHIJASQ · pith_short_16: VTEHXJHIJASQ7QHE · pith_short_8: VTEHXJHI

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/VTEHXJHIJASQ7QHE6Z3KX2DVYW \
  | 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: acc87ba4e848250fc0e4f676abe875c59733c963ddb49b6615801b6012798a01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68a83fd328a53a6cd2eb7272463656c714f68347af6bc89de24c8e5e68554b5b",
    "cross_cats_sorted": [
      "math.AT",
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-01-26T04:26:52Z",
    "title_canon_sha256": "972fd1b140ba44c68ae4598e0836406c8043368f1d5fea4bf4e5f3617a91a16e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.4574",
    "kind": "arxiv",
    "version": 5
  }
}