Pith Number

pith:6BQHHGDL

pith:2015:6BQHHGDLSMHJOGEJQ5Z3YY3SGR

not attested not anchored not stored refs pending

On an article by S. A. Barannikov

Francois Laudenbach (LMJL)

arxiv:1509.03490 v2 · 2015-09-11 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6BQHHGDLSMHJOGEJQ5Z3YY3SGR}

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	2026-05-18T01:26:17.827295Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f06073986b930e9718898773bc6372344244d34da1086ad700a9433167cc9b20

Aliases

arxiv: 1509.03490 · arxiv_version: 1509.03490v2 · doi: 10.48550/arxiv.1509.03490 · pith_short_12: 6BQHHGDLSMHJ · pith_short_16: 6BQHHGDLSMHJOGEJ · pith_short_8: 6BQHHGDL

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/6BQHHGDLSMHJOGEJQ5Z3YY3SGR \
  | 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: f06073986b930e9718898773bc6372344244d34da1086ad700a9433167cc9b20

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e02518b416e1f1e028054c0bc71300174a89ecec6387145649a243bd6aade88",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-09-11T13:09:51Z",
    "title_canon_sha256": "4275a9c09a78e8023518132c15f084adcedae10fa7e482101a75e82e070fc9f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.03490",
    "kind": "arxiv",
    "version": 2
  }
}