Pith Number

pith:M4R5KSSG

pith:2012:M4R5KSSGCGRMEZ7OY5OCWD7CI3

not attested not anchored not stored refs pending

BV solutions constructed by epsilon-neighborhood method

Mach Nguyet Minh

arxiv:1209.1648 v3 · 2012-09-07 · 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{M4R5KSSGCGRMEZ7OY5OCWD7CI3}

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	2026-05-18T01:21:03.145359Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6723d54a4611a2c267eec75c2b0fe246dea87b5f1097bd1873d33051adecb217

Aliases

arxiv: 1209.1648 · arxiv_version: 1209.1648v3 · doi: 10.48550/arxiv.1209.1648 · pith_short_12: M4R5KSSGCGRM · pith_short_16: M4R5KSSGCGRMEZ7O · pith_short_8: M4R5KSSG

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/M4R5KSSGCGRMEZ7OY5OCWD7CI3 \
  | 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: 6723d54a4611a2c267eec75c2b0fe246dea87b5f1097bd1873d33051adecb217

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30904c66340961fab1230ec28bcf0a89b869edeb3fe0af3a36e87013c25d445a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-09-07T20:42:35Z",
    "title_canon_sha256": "68682e693ca3ada37be6f87a661611d7ee19aabb6cc36089cf9dc8e394f37f9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.1648",
    "kind": "arxiv",
    "version": 3
  }
}