Pith Number

pith:NRB5XLB7

pith:2011:NRB5XLB73UDRWRHGWSRPPHHRMV

not attested not anchored not stored refs pending

A Quantum Kirwan Map, II: Bubbling

Fabian Ziltener

arxiv:1106.1729 v2 · 2011-06-09 · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NRB5XLB73UDRWRHGWSRPPHHRMV}

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	2026-05-18T03:44:36.345240Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c43dbac3fdd071b44e6b4a2f79cf1656ef1d279e0d3792128a7476cb3b2fda4

Aliases

arxiv: 1106.1729 · arxiv_version: 1106.1729v2 · doi: 10.48550/arxiv.1106.1729 · pith_short_12: NRB5XLB73UDR · pith_short_16: NRB5XLB73UDRWRHG · pith_short_8: NRB5XLB7

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/NRB5XLB73UDRWRHGWSRPPHHRMV \
  | 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: 6c43dbac3fdd071b44e6b4a2f79cf1656ef1d279e0d3792128a7476cb3b2fda4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d90de3e0caadee77a1f44e4a679e7ffecba5767383f8b4e85406c9ac1e702cab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2011-06-09T08:00:02Z",
    "title_canon_sha256": "d54033d8219005fa31a765499ef2c8e036cc8006db3e78b008450328bd3130ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.1729",
    "kind": "arxiv",
    "version": 2
  }
}