Pith Number

pith:PI7YDWBL

pith:1997:PI7YDWBL72EOU2GOKPM4D662DS

not attested not anchored not stored refs pending

The exponential rank of non-Archimedean exponential fields

Franz-Viktor Kuhlmann (Fields Institute), Salma Kuhlmann

arxiv:math/9708212 v1 · 1997-08-18 · math.AC · 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{PI7YDWBL72EOU2GOKPM4D662DS}

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	2026-05-18T03:29:16.793056Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a3f81d82bfe88ea68ce53d9c1fbda1c84a2955a8e1f2b9132bce8b2543d7be1

Aliases

arxiv: math/9708212 · arxiv_version: math/9708212v1 · doi: 10.48550/arxiv.math/9708212 · pith_short_12: PI7YDWBL72EO · pith_short_16: PI7YDWBL72EOU2GO · pith_short_8: PI7YDWBL

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/PI7YDWBL72EOU2GOKPM4D662DS \
  | 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: 7a3f81d82bfe88ea68ce53d9c1fbda1c84a2955a8e1f2b9132bce8b2543d7be1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b4b088cbfcae63bdb618e4b46729822969a91e48e2a80a3812921843f961288",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "",
    "primary_cat": "math.AC",
    "submitted_at": "1997-08-18T00:00:00Z",
    "title_canon_sha256": "a75c90494869d0a0690b7422c12eace598f3e49bf9d077012e3ead27e65ede0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9708212",
    "kind": "arxiv",
    "version": 1
  }
}