Pith Number

pith:IKWOYWR4

pith:2011:IKWOYWR4JBIZPNOAB6FPW7KJXI

not attested not anchored not stored refs pending

Birch's theorem in function fields

Siu-lun Alan Lee

arxiv:1109.4953 v2 · 2011-09-22 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IKWOYWR4JBIZPNOAB6FPW7KJXI}

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.

Cited by

1 paper in Pith

Rational points on complete intersections over $\mathbb{F}_q(t)$

Receipt and verification

First computed	2026-05-18T04:12:10.018974Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42acec5a3c485197b5c00f8afb7d49ba0bb1cd63ccc8648bf6ed0e6b34e783fd

Aliases

arxiv: 1109.4953 · arxiv_version: 1109.4953v2 · doi: 10.48550/arxiv.1109.4953 · pith_short_12: IKWOYWR4JBIZ · pith_short_16: IKWOYWR4JBIZPNOA · pith_short_8: IKWOYWR4

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/IKWOYWR4JBIZPNOAB6FPW7KJXI \
  | 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: 42acec5a3c485197b5c00f8afb7d49ba0bb1cd63ccc8648bf6ed0e6b34e783fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f450eeb7210422f430d01104fec04ba28c13b6011327130b6bb2d080f327274",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-09-22T20:31:53Z",
    "title_canon_sha256": "d342d50753c4bb53d28f6067fdc75f99bb3e0af34841cd75d1f0c2e590652af7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.4953",
    "kind": "arxiv",
    "version": 2
  }
}