Pith Number

pith:Q6RELNWX

pith:2011:Q6RELNWXACY3CU7O3RXO3SQEUL

not attested not anchored not stored refs pending

Strong approximation for the total space of certain quadric fibrations

Fei Xu, Jean-Louis Colliot-Th\'el\`ene

arxiv:1112.2991 v1 · 2011-12-13 · math.NT · 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{Q6RELNWXACY3CU7O3RXO3SQEUL}

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	2026-05-18T04:06:31.840835Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87a245b6d700b1b153eedc6eedca04a2deaea463a99c7b7f7de9585ad010daed

Aliases

arxiv: 1112.2991 · arxiv_version: 1112.2991v1 · doi: 10.48550/arxiv.1112.2991 · pith_short_12: Q6RELNWXACY3 · pith_short_16: Q6RELNWXACY3CU7O · pith_short_8: Q6RELNWX

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/Q6RELNWXACY3CU7O3RXO3SQEUL \
  | 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: 87a245b6d700b1b153eedc6eedca04a2deaea463a99c7b7f7de9585ad010daed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b277b4acbd7197f8c8d51ef41901263c95c591962ba60ec05743805c5dbd4faf",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-12-13T18:19:14Z",
    "title_canon_sha256": "fefb43ccf1bfcbba3b5fa89381c4415b40bfe40af6afdddbbd92dfa91eee2f97"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.2991",
    "kind": "arxiv",
    "version": 1
  }
}