Pith Number

pith:VFGEAAVW

pith:2011:VFGEAAVWZ2LA26QALOD2GXL2UB

not attested not anchored not stored refs pending

On the exponential transform of multi-sheeted algebraic domains

Bj\"orn Gustafsson, Vladimir G. Tkachev

arxiv:1101.0799 v1 · 2011-01-04 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VFGEAAVWZ2LA26QALOD2GXL2UB}

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	2026-05-18T00:18:05.580008Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a94c4002b6ce960d7a005b87a35d7aa07b75f22f1e40561cd314bd4bc1cd88ac

Aliases

arxiv: 1101.0799 · arxiv_version: 1101.0799v1 · doi: 10.48550/arxiv.1101.0799 · pith_short_12: VFGEAAVWZ2LA · pith_short_16: VFGEAAVWZ2LA26QA · pith_short_8: VFGEAAVW

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/VFGEAAVWZ2LA26QALOD2GXL2UB \
  | 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: a94c4002b6ce960d7a005b87a35d7aa07b75f22f1e40561cd314bd4bc1cd88ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4dec027dfb414650aa44407694915cba074fa7d30e3a26f3ea0032ec44eea612",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2011-01-04T19:20:10Z",
    "title_canon_sha256": "d1a974c9167f84a8ca8f50919d7cbbca4f04965263e0ed4dee7dd85febd0ba2c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.0799",
    "kind": "arxiv",
    "version": 1
  }
}