Pith Number

pith:MQBG5EBY

pith:2001:MQBG5EBYM2ILCGEPKQUTB4KET7

not attested not anchored not stored refs pending

Flag Structures on Seifert Manifolds

Thierry Barbot

arxiv:math/0104108 v1 · 2001-04-10 · math.DS · math.GT · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MQBG5EBYM2ILCGEPKQUTB4KET7}

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	2026-05-18T02:38:00.835586Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64026e90386690b1188f542930f1449fc71ee701cf77a3a61bf86ee083efcf49

Aliases

arxiv: math/0104108 · arxiv_version: math/0104108v1 · doi: 10.48550/arxiv.math/0104108 · pith_short_12: MQBG5EBYM2IL · pith_short_16: MQBG5EBYM2ILCGEP · pith_short_8: MQBG5EBY

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/MQBG5EBYM2ILCGEPKQUTB4KET7 \
  | 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: 64026e90386690b1188f542930f1449fc71ee701cf77a3a61bf86ee083efcf49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62e13b502c993caadf6dfc855c36e39f743d9eaec7991851781ad5477baea761",
    "cross_cats_sorted": [
      "math.GT",
      "math.RA"
    ],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "2001-04-10T12:03:46Z",
    "title_canon_sha256": "3dfcf07e460b2e93451d3cc50e0f33226fa5b77b2e623f7e954e47ae222b2b6a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0104108",
    "kind": "arxiv",
    "version": 1
  }
}