Pith Number

pith:AKNIUDHT

pith:2015:AKNIUDHTZJQ7VDIWXG7T5I6UYX

not attested not anchored not stored refs pending

On the investigations of Ivan Prodanov in the theory of abstract spectra

Dimiter Vakarelov, Georgi Dimov

arxiv:1507.05486 v1 · 2015-07-20 · math.GN · math.CT · 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{AKNIUDHTZJQ7VDIWXG7T5I6UYX}

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	2026-05-18T01:36:36.686260Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

029a8a0cf3ca61fa8d16b9bf3ea3d4c5ed2ae474357fd987076226026d9186bb

Aliases

arxiv: 1507.05486 · arxiv_version: 1507.05486v1 · doi: 10.48550/arxiv.1507.05486 · pith_short_12: AKNIUDHTZJQ7 · pith_short_16: AKNIUDHTZJQ7VDIW · pith_short_8: AKNIUDHT

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/AKNIUDHTZJQ7VDIWXG7T5I6UYX \
  | 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: 029a8a0cf3ca61fa8d16b9bf3ea3d4c5ed2ae474357fd987076226026d9186bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8815548685227aa7acaa24dcd1723b9e2550a5f2f7ea64fcf61a646d165a28bf",
    "cross_cats_sorted": [
      "math.CT",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2015-07-20T13:23:51Z",
    "title_canon_sha256": "e7602da0605b2317838a39c3fffe9c5f4ec0bab7cab02e95449aa86d13de7f89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.05486",
    "kind": "arxiv",
    "version": 1
  }
}