Pith Number

pith:KFPOFRWN

pith:1997:KFPOFRWN2LZJIOZDYT4ORIFJQR

not attested not anchored not stored refs pending

Torsion and fibrations

Thomas Schick, Thomas Thielmann, Wolfgang Lueck

arxiv:dg-ga/9707010 v1 · 1997-07-10 · dg-ga · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KFPOFRWN2LZJIOZDYT4ORIFJQR}

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	2026-05-17T23:59:45.085934Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

515ee2c6cdd2f2943b23c4f8e8a0a98441558afa4cc00acf0d8875a6a3494083

Aliases

arxiv: dg-ga/9707010 · arxiv_version: dg-ga/9707010v1 · doi: 10.48550/arxiv.dg-ga/9707010 · pith_short_12: KFPOFRWN2LZJ · pith_short_16: KFPOFRWN2LZJIOZD · pith_short_8: KFPOFRWN

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/KFPOFRWN2LZJIOZDYT4ORIFJQR \
  | 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: 515ee2c6cdd2f2943b23c4f8e8a0a98441558afa4cc00acf0d8875a6a3494083

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b91c84cf1a81c5f257493f17dbd09202d956f4bb0d7eae97cccf71339480cf48",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "",
    "primary_cat": "dg-ga",
    "submitted_at": "1997-07-10T12:38:09Z",
    "title_canon_sha256": "5cda1fc182f6ca53cc24080232b06b4123b3c9a500183b921e065c463a2e3639"
  },
  "schema_version": "1.0",
  "source": {
    "id": "dg-ga/9707010",
    "kind": "arxiv",
    "version": 1
  }
}