Pith Number

pith:OGRKTDJP

pith:2006:OGRKTDJP47HGNNRGZWOITNOK2C

not attested not anchored not stored refs pending

Uniform subellipticity

A.F.M. ter Elst, Derek W. Robinson

arxiv:math/0612680 v1 · 2006-12-22 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OGRKTDJP47HGNNRGZWOITNOK2C}

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	2026-05-18T03:03:22.952461Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

71a2a98d2fe7ce66b626cd9c89b5cad09b10df4d4be0eda371a8e17047540a90

Aliases

arxiv: math/0612680 · arxiv_version: math/0612680v1 · doi: 10.48550/arxiv.math/0612680 · pith_short_12: OGRKTDJP47HG · pith_short_16: OGRKTDJP47HGNNRG · pith_short_8: OGRKTDJP

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/OGRKTDJP47HGNNRGZWOITNOK2C \
  | 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: 71a2a98d2fe7ce66b626cd9c89b5cad09b10df4d4be0eda371a8e17047540a90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac928ac9be89dfb37b989e8fef4f5f3e0e16cc9cc5651763722b5f91d7cfb38b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2006-12-22T04:16:47Z",
    "title_canon_sha256": "d82a7dfe7e59fce07cfe627ad4e6f359f0703c064bec98c2a031c0e5bd724fb9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0612680",
    "kind": "arxiv",
    "version": 1
  }
}