Pith Number

pith:RMW5CLO3

pith:2007:RMW5CLO3NRTV4TGWHTLDK6C7JY

not attested not anchored not stored refs pending

The topology of symplectic circle bundles

Jonathan Bowden

arxiv:0711.2928 v1 · 2007-11-19 · math.GT · 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{RMW5CLO3NRTV4TGWHTLDK6C7JY}

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	2026-05-18T04:21:53.265584Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b2dd12ddb6c675e4cd63cd635785f4e376916eb6525c361cdf6a1838a0e8406

Aliases

arxiv: 0711.2928 · arxiv_version: 0711.2928v1 · doi: 10.48550/arxiv.0711.2928 · pith_short_12: RMW5CLO3NRTV · pith_short_16: RMW5CLO3NRTV4TGW · pith_short_8: RMW5CLO3

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/RMW5CLO3NRTV4TGWHTLDK6C7JY \
  | 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: 8b2dd12ddb6c675e4cd63cd635785f4e376916eb6525c361cdf6a1838a0e8406

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4bdc53fcf971bbe745fd20c71b27330122b35fdcf8ed48426f3b387fc17b2c74",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2007-11-19T13:45:26Z",
    "title_canon_sha256": "c7ea4a5ce99d8ff2dc30735c7d121f778a63ea6540e3fd5edb5cae0bcffe673c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.2928",
    "kind": "arxiv",
    "version": 1
  }
}