Pith Number

pith:NX2B3BAW

pith:2011:NX2B3BAWXLJR7V4OIGFGJDL2OB

not attested not anchored not stored refs pending

Isospectral Alexandrov Spaces

Alexander Engel, Martin Weilandt

arxiv:1103.2568 v3 · 2011-03-14 · 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{NX2B3BAWXLJR7V4OIGFGJDL2OB}

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	2026-05-18T03:04:59.859154Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6df41d8416bad31fd78e418a648d7a704df5c8d7893163eb949f56c11875a619

Aliases

arxiv: 1103.2568 · arxiv_version: 1103.2568v3 · doi: 10.48550/arxiv.1103.2568 · pith_short_12: NX2B3BAWXLJR · pith_short_16: NX2B3BAWXLJR7V4O · pith_short_8: NX2B3BAW

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/NX2B3BAWXLJR7V4OIGFGJDL2OB \
  | 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: 6df41d8416bad31fd78e418a648d7a704df5c8d7893163eb949f56c11875a619

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e904498b0bd1bd370aeccc53c40480e156c9fcd5f4aa7424c77c59cc4f6bd31f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-03-14T00:29:46Z",
    "title_canon_sha256": "d258ad5852848f6cc973aaec4f2c474dece4d3bb513c34d7279d9752e88cb830"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.2568",
    "kind": "arxiv",
    "version": 3
  }
}