Pith Number

pith:7OEVP2SR

pith:2015:7OEVP2SRHUHSM7OTVK3XTCPV46

not attested not anchored not stored refs pending

Gauged Floer homology and spectral invariants

Guangbo Xu, WeiWei Wu

arxiv:1506.03349 v1 · 2015-06-10 · 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{7OEVP2SRHUHSM7OTVK3XTCPV46}

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	2026-05-18T00:13:08.286952Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb8957ea513d0f267dd3aab77989f5e7ac5a03b516ce705b2b7448a6edfb5b2e

Aliases

arxiv: 1506.03349 · arxiv_version: 1506.03349v1 · doi: 10.48550/arxiv.1506.03349 · pith_short_12: 7OEVP2SRHUHS · pith_short_16: 7OEVP2SRHUHSM7OT · pith_short_8: 7OEVP2SR

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/7OEVP2SRHUHSM7OTVK3XTCPV46 \
  | 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: fb8957ea513d0f267dd3aab77989f5e7ac5a03b516ce705b2b7448a6edfb5b2e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10e0c114b7189c969f5ee4f207b8ca65538cac17b91cb96d3ba20d15cec353f6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2015-06-10T15:02:53Z",
    "title_canon_sha256": "292429b3a2dd404bd35b59beb61c517bd1b1bafe5304f61d6dd0c3ba2c003b94"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.03349",
    "kind": "arxiv",
    "version": 1
  }
}