Pith Number

pith:ATGCYBSR

pith:2016:ATGCYBSRXKCLSIANXB4CAXFVAY

not attested not anchored not stored refs pending

On singular equations with critical and supercritical exponents

Mousomi Bhakta, Sanjiban Santra

arxiv:1608.00490 v2 · 2016-08-01 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ATGCYBSRXKCLSIANXB4CAXFVAY}

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	2026-05-17T23:54:57.050068Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04cc2c0651ba84b9200db878205cb50627c04f5c7ec6c967d2fbe2a117823423

Aliases

arxiv: 1608.00490 · arxiv_version: 1608.00490v2 · doi: 10.48550/arxiv.1608.00490 · pith_short_12: ATGCYBSRXKCL · pith_short_16: ATGCYBSRXKCLSIAN · pith_short_8: ATGCYBSR

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/ATGCYBSRXKCLSIANXB4CAXFVAY \
  | 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: 04cc2c0651ba84b9200db878205cb50627c04f5c7ec6c967d2fbe2a117823423

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72c760d05c051d6bf8a101d34aef952f857dbe5027716db9bb64d0d137c650ac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-08-01T16:41:38Z",
    "title_canon_sha256": "9acbe5cf3ea7f426392bd06deaf9d8804ea108c32dc353def285cc9c18160636"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.00490",
    "kind": "arxiv",
    "version": 2
  }
}