Pith Number

pith:AIQSUGSA

pith:2012:AIQSUGSAGFGTEWXQC5OHE5SWJD

not attested not anchored not stored refs pending

Area growth and rigidity of surfaces without conjugate points

Patrick Emmerich, Victor Bangert

arxiv:1201.2883 v2 · 2012-01-13 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AIQSUGSAGFGTEWXQC5OHE5SWJD}

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	2026-05-18T03:21:21.727981Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02212a1a40314d325af0175c72765648d639b2be704fcc06507d1e1129257e4c

Aliases

arxiv: 1201.2883 · arxiv_version: 1201.2883v2 · doi: 10.48550/arxiv.1201.2883 · pith_short_12: AIQSUGSAGFGT · pith_short_16: AIQSUGSAGFGTEWXQ · pith_short_8: AIQSUGSA

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/AIQSUGSAGFGTEWXQC5OHE5SWJD \
  | 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: 02212a1a40314d325af0175c72765648d639b2be704fcc06507d1e1129257e4c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2cd46a8a44f0a124ccfe21b3220ae08256c3f2b19c297cf935ca88f9c364a36",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-01-13T16:18:12Z",
    "title_canon_sha256": "4916b8ba4af6bf31b63a2c4d05e930a224e6d00d61116aa70d08abaa609fbd73"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.2883",
    "kind": "arxiv",
    "version": 2
  }
}