Pith Number

pith:KY2TT3M5

pith:2007:KY2TT3M5R23VHGXXHH6MUZQVO6

not attested not anchored not stored refs pending

Geometric Complexity Theory: Introduction

Ketan D. Mulmuley, Milind Sohoni

arxiv:0709.0746 v1 · 2007-09-05 · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KY2TT3M5R23VHGXXHH6MUZQVO6}

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	2026-05-18T02:46:04.894246Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

563539ed9d8eb7539af739fcca661577b795e6cb09662a8d9fb26aca67adf6e4

Aliases

arxiv: 0709.0746 · arxiv_version: 0709.0746v1 · doi: 10.48550/arxiv.0709.0746 · pith_short_12: KY2TT3M5R23V · pith_short_16: KY2TT3M5R23VHGXX · pith_short_8: KY2TT3M5

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/KY2TT3M5R23VHGXXHH6MUZQVO6 \
  | 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: 563539ed9d8eb7539af739fcca661577b795e6cb09662a8d9fb26aca67adf6e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be931d3a874c1d0920ff03eb086cd5c9e8ec6a4a084b8048f99f39c46269a18b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "cs.CC",
    "submitted_at": "2007-09-05T21:54:52Z",
    "title_canon_sha256": "4206bdf4a88af663bec7aca0711a2b7304d25a6ab78dc2e43ee73420fb2d9295"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0709.0746",
    "kind": "arxiv",
    "version": 1
  }
}