Pith Number

pith:KEYM2SHN

pith:2007:KEYM2SHNOACYF6I4HM5B6BXE62

not attested not anchored not stored refs pending

D-affinity and Frobenius morphism on quadrics

Adrian Langer

arxiv:0707.0915 v2 · 2007-07-06 · math.AG · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KEYM2SHNOACYF6I4HM5B6BXE62}

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	2026-05-18T02:20:48.271776Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5130cd48ed700582f91c3b3a1f06e4f6ae70483d3f49322eb26d5723a2217cee

Aliases

arxiv: 0707.0915 · arxiv_version: 0707.0915v2 · doi: 10.48550/arxiv.0707.0915 · pith_short_12: KEYM2SHNOACY · pith_short_16: KEYM2SHNOACYF6I4 · pith_short_8: KEYM2SHN

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/KEYM2SHNOACYF6I4HM5B6BXE62 \
  | 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: 5130cd48ed700582f91c3b3a1f06e4f6ae70483d3f49322eb26d5723a2217cee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4c089f99b8b512d86a57dc60e6a44c874e7fc0543804d6d8328ef0f72bbbded",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2007-07-06T08:07:13Z",
    "title_canon_sha256": "aee81f8c2d3fe7fb3047ae144ee3dce7d69f1ed8e6dda4367cf6e3eda6eb4055"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0707.0915",
    "kind": "arxiv",
    "version": 2
  }
}